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Finding the Third Proportional to 88,015 and 207,567

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Solution

The third proportional to 88,015 and 207,567 is: 489,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,015 : 207,567 = 207,567 : x
  2. Step 2: Convert to fraction form
    88,015/207,567 = 207,567/x
  3. Step 3: Cross multiply
    88,015x = 207,567 × 207,567
  4. Step 4: Simplify right side
    88,015x = 43,084,059,489
  5. Step 5: Solve for x
    x = 43,084,059,489/88,015
  6. Step 6: Final answer
    x = 489,508.15

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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.