How far is it necessary to move away from the surface of the Earth towards the Moon for the force of attraction

How far is it necessary to move away from the surface of the Earth towards the Moon for the force of attraction to the Earth to become the same as the force of attraction to the Moon? It is known that the mass of the Moon is 81 times less than the mass of the Earth, and the radius is 0.27 Earth.

Let us write down the forces with which the Earth and the Moon attract the same body of mass m: Fl = G mMl / (r-x) ^ 2
F3 = GmM3 / x ^ 2
Let’s find their ratio: f3 / fl = M3 / Ml * x ^ 2 / (r-x) ^ 2
Here x and r – x are the distances from the Earth and the Moon to this point, respectively; r is the distance between the Moon and the Earth.
Substituting the numerical data, we find x = 34 5000 km, and h = x – RЗ = 339 200 km.
Answer: 339,200 km.