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Finding the Third Proportional to 187,459 and 267,877

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Solution

The third proportional to 187,459 and 267,877 is: 382,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,459 : 267,877 = 267,877 : x
  2. Step 2: Convert to fraction form
    187,459/267,877 = 267,877/x
  3. Step 3: Cross multiply
    187,459x = 267,877 × 267,877
  4. Step 4: Simplify right side
    187,459x = 71,758,087,129
  5. Step 5: Solve for x
    x = 71,758,087,129/187,459
  6. Step 6: Final answer
    x = 382,793.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.