Let's say the third number is x.

The sum of the second and third number is 500-200 = <<500-200=300>>300

Since the third number is x, the sum of the values of the second and third number is x+2x = 300

This is 3x=300

The value of the third number is x=300/3

x=<<100=100>>100

# Answer

100
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The sum of the three numbers is 500. If the first number is 200, and the value of the second number is twice the value of the third number, find the value of the third number.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
100
The sum of the three numbers is 500. If the first number is 200, and the value of the second number is twice the value of the third number, find the value of the third number.
train