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Finding the Third Proportional to 267,124 and 381,963

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Solution

The third proportional to 267,124 and 381,963 is: 546,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,124 : 381,963 = 381,963 : x
  2. Step 2: Convert to fraction form
    267,124/381,963 = 381,963/x
  3. Step 3: Cross multiply
    267,124x = 381,963 × 381,963
  4. Step 4: Simplify right side
    267,124x = 145,895,733,369
  5. Step 5: Solve for x
    x = 145,895,733,369/267,124
  6. Step 6: Final answer
    x = 546,172.31

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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.