Question 902781
consecutive integers: (x-1), x, (x+1)


(x-1)(x)(x+1) = 208 + (x-1)^3
x^3 - x = 208 + (x^3 - 3x^2 + 3x - 1)
0 = -3x^2 + 4x + 207


x is integer ---> x = 9
 

The integers are 8, 9, and 10.