Finding the Third Proportional to 204,812 and 317,998
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Solution
The third proportional to 204,812 and 317,998 is: 493,734.39
Step by Step Solution
- Step 1: Write the proportion equation
204,812 : 317,998 = 317,998 : x - Step 2: Convert to fraction form
204,812/317,998 = 317,998/x - Step 3: Cross multiply
204,812x = 317,998 × 317,998 - Step 4: Simplify right side
204,812x = 101,122,728,004 - Step 5: Solve for x
x = 101,122,728,004/204,812 - Step 6: Final answer
x = 493,734.39
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.