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Finding the Third Proportional to 87,996 and 207,508

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Solution

The third proportional to 87,996 and 207,508 is: 489,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,996 : 207,508 = 207,508 : x
  2. Step 2: Convert to fraction form
    87,996/207,508 = 207,508/x
  3. Step 3: Cross multiply
    87,996x = 207,508 × 207,508
  4. Step 4: Simplify right side
    87,996x = 43,059,570,064
  5. Step 5: Solve for x
    x = 43,059,570,064/87,996
  6. Step 6: Final answer
    x = 489,335.54

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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.