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Finding the Third Proportional to 267,122 and 381,960

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Solution

The third proportional to 267,122 and 381,960 is: 546,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,122 : 381,960 = 381,960 : x
  2. Step 2: Convert to fraction form
    267,122/381,960 = 381,960/x
  3. Step 3: Cross multiply
    267,122x = 381,960 × 381,960
  4. Step 4: Simplify right side
    267,122x = 145,893,441,600
  5. Step 5: Solve for x
    x = 145,893,441,600/267,122
  6. Step 6: Final answer
    x = 546,167.82

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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.