Finding the Third Proportional to 204,746 and 315,866
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Solution
The third proportional to 204,746 and 315,866 is: 487,293.18
Step by Step Solution
- Step 1: Write the proportion equation
204,746 : 315,866 = 315,866 : x - Step 2: Convert to fraction form
204,746/315,866 = 315,866/x - Step 3: Cross multiply
204,746x = 315,866 × 315,866 - Step 4: Simplify right side
204,746x = 99,771,329,956 - Step 5: Solve for x
x = 99,771,329,956/204,746 - Step 6: Final answer
x = 487,293.18
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.