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Finding the Third Proportional to 267,120 and 381,957

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Solution

The third proportional to 267,120 and 381,957 is: 546,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,120 : 381,957 = 381,957 : x
  2. Step 2: Convert to fraction form
    267,120/381,957 = 381,957/x
  3. Step 3: Cross multiply
    267,120x = 381,957 × 381,957
  4. Step 4: Simplify right side
    267,120x = 145,891,149,849
  5. Step 5: Solve for x
    x = 145,891,149,849/267,120
  6. Step 6: Final answer
    x = 546,163.33

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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.