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Finding the Third Proportional to 87,998 and 207,527

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Solution

The third proportional to 87,998 and 207,527 is: 489,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,998 : 207,527 = 207,527 : x
  2. Step 2: Convert to fraction form
    87,998/207,527 = 207,527/x
  3. Step 3: Cross multiply
    87,998x = 207,527 × 207,527
  4. Step 4: Simplify right side
    87,998x = 43,067,455,729
  5. Step 5: Solve for x
    x = 43,067,455,729/87,998
  6. Step 6: Final answer
    x = 489,414.03

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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.