I can squat about that amount of weight personally.
But as a runner, you don't have to be able to squat or deadlift X amount of weight in order to be the best runner you can be. The force output of a slow squat is completely different than that of general athletic activity. Whether that's running/sprinting, throwing, or jumping. As a runner it is important to be strong, but strength is very relative and can't be measured by a squat or hinge pattern. So what does running strength look like? I break it down into a few things.
Tissue Quality, Stride Power, and Running Mechanics/Form.
Tissue Quality refers to the ability of tendons, muscles, bones, and ligaments to take repetitive loads without becoming overworked and injured. This is probably the most transferable quality from traditional strength training. That's why you see stronger looking runners or runners who had a background in other sports typically stay injury free as long as they are not training like idiots. The problem with this is that traditional powerlifting style strength training doesn't optimally train tissue quality, or any other previously mentioned quality. It also often results in DOMS and the need to recover from this negatively impacts running and can actually instill bad running form which leads to injury. The best way to train tissue for health is big ranges of motion with lighter loads. KneesOverToesGuy is a great example of this. But some great examples of exercises for runners are ATG Split Squats, Seated DB Goodmornings, Seated Calf Raises, Ant Tib Raises, and Russian Curls .
Stride Power refers to how much force are you actually producing efficiently with each stride.
The best way to get a better and stronger side is going to be lots and lots of intentional drills and strides as well as Sprinting, plyometrics, and running on hills.
Sprinting is actually the best way to get strong because your putting thousands of pounds of force through the leg in a single leg stance. Your squat might not go up from it, but its actually the best way for your legs to get stronger. Plyometrics are a great way to get more powerful, but they have a trade off effect. If not used correctly, either too much to soon or with improper form, they can result in injury pretty easily.
Plyos as well as Sprinting also have the effect of allowing your tendons to become stiffer. Which is key for elastic strength, which is the most transferable to high velocity activities. However if your tendons become stiff and it is very easy to develop tendonitis (particularly in the knees, Hamstrings, and Achilles). This is why it is also important to include Full Range of Motion exercises as mentioned earlier.
Hills are basically resistance training for runners, as Arthur Lydiard says, "I want my runners to have the muscles of stags, not lions." This can look like easy runs over hills, Long Hills reps, Hills strides, Hill Sprints, Hill Circuits, Hill Plyos. The list goes on and on. Basically take something you normally do on the flat and do it on a hill and your guaranteed to get stronger and probably faster. I think it was Frank Shorter who said, "Hills are just speedwork in disguise."
There are also several resistance training exercises that result in more strength and power in your stride. For the Hip Flexors-Cable Knee Drives. Glutes-Kettlebell Swings (12-16kg is all you need!!), Quads and Hamstrings- Loaded Half Squat Jumps (Verkhoshansky style) (Starting with just the bar for sets of 20 and evolving to 30-40% of max weight for sets of 10) (Depth Jumps as well, but these are very risky and should be limited to Sprinters IMO)
Running Mechanics/Form is very key to help mitigate injury risk and also with improve efficiency. The focus should be on posture and undoing the effects of sitting in a chair. Posture in this relates to the position and control of the spine. So for runners this means core training (NOT AB TRAINING!), and thoracic mobility/control. Core training can look like a lot different things but should focus around anti-extension, anti-rotation, and Arm Carriage. Thinking running tall without hunching over, leaning back, or throwing your arms around. Exercises that focus on this include Fallouts/Rollouts, Planks with motion while maintain posture, AR Press, Push Pull, Batwings, Facepull with Palms down, Facepull with Palms up (or Y/T/W), and Goblet Squats.
To reverse the effects of sitting one should carry our many of the exercises mentioned in the Tissue Quality section. The target areas should be tight/weak hip flexors, dysfunctional feet, dysfunctional pelvis (Anterior/Posterior Pelvic Tilt), dysfuntional glutes. Include shorts runs on the grass barefoot, and a staggered stance one arm RDL with the back foot elevated slightly, for the glutes (look up Conor Harris).
Lastly maybe you just want to keep squatting and deadlifting without any of the fancy stuff. That's totally cool, and I would recommend you look of Pavel's and Dan Johns "Easy Strength". Very compatible with runners IMO and Dan John speak on it related to runners in two separate Q&As on youtube.
That's my two cents on everything. It's a lot I know. Feel free to shoot me a question or rip me apart.