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Finding the Third Proportional to 182,510 and 267,459

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Solution

The third proportional to 182,510 and 267,459 is: 391,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,510 : 267,459 = 267,459 : x
  2. Step 2: Convert to fraction form
    182,510/267,459 = 267,459/x
  3. Step 3: Cross multiply
    182,510x = 267,459 × 267,459
  4. Step 4: Simplify right side
    182,510x = 71,534,316,681
  5. Step 5: Solve for x
    x = 71,534,316,681/182,510
  6. Step 6: Final answer
    x = 391,947.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.