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Finding the Third Proportional to 87,860 and 207,305

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Solution

The third proportional to 87,860 and 207,305 is: 489,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,860 : 207,305 = 207,305 : x
  2. Step 2: Convert to fraction form
    87,860/207,305 = 207,305/x
  3. Step 3: Cross multiply
    87,860x = 207,305 × 207,305
  4. Step 4: Simplify right side
    87,860x = 42,975,363,025
  5. Step 5: Solve for x
    x = 42,975,363,025/87,860
  6. Step 6: Final answer
    x = 489,134.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.