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Finding the Third Proportional to 87,394 and 186,227

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Solution

The third proportional to 87,394 and 186,227 is: 396,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,394 : 186,227 = 186,227 : x
  2. Step 2: Convert to fraction form
    87,394/186,227 = 186,227/x
  3. Step 3: Cross multiply
    87,394x = 186,227 × 186,227
  4. Step 4: Simplify right side
    87,394x = 34,680,495,529
  5. Step 5: Solve for x
    x = 34,680,495,529/87,394
  6. Step 6: Final answer
    x = 396,829.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.