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Finding the Third Proportional to 87,482 and 209,957

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Solution

The third proportional to 87,482 and 209,957 is: 503,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,482 : 209,957 = 209,957 : x
  2. Step 2: Convert to fraction form
    87,482/209,957 = 209,957/x
  3. Step 3: Cross multiply
    87,482x = 209,957 × 209,957
  4. Step 4: Simplify right side
    87,482x = 44,081,941,849
  5. Step 5: Solve for x
    x = 44,081,941,849/87,482
  6. Step 6: Final answer
    x = 503,897.28

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.