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Finding the Third Proportional to 87,978 and 207,473

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Solution

The third proportional to 87,978 and 207,473 is: 489,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,978 : 207,473 = 207,473 : x
  2. Step 2: Convert to fraction form
    87,978/207,473 = 207,473/x
  3. Step 3: Cross multiply
    87,978x = 207,473 × 207,473
  4. Step 4: Simplify right side
    87,978x = 43,045,045,729
  5. Step 5: Solve for x
    x = 43,045,045,729/87,978
  6. Step 6: Final answer
    x = 489,270.56

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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.