M1V1 = M2V2
where M1 and V1 are the molar concentration and volume of the stock solution, and M2 and V2 are the molar concentration and volume of the final solution. We can use this formula to find the volume of water that we need to add to the stock solution to prepare the final solution.
Plugging in the given values, we have:
15.406 M x V1 = 3.361 M x 372.510 mL
To solve for V1, we can divide both sides of the equation by 15.406 M:
V1 = 3.361 M x 372.510 mL / 15.406 M
V1 = 24.227 mL
Therefore, we need to add 24.227 mL of water to the stock solution of 15.406 M hydrochloric acid to prepare a solution with a hydrochloric acid molar concentration of 3.361 M and a volume of 372.510 mL.