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Finding the Third Proportional to 267,117.50 and 381,951.50

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Solution

The third proportional to 267,117.50 and 381,951.50 is: 546,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,117.50 : 381,951.50 = 381,951.50 : x
  2. Step 2: Convert to fraction form
    267,117.50/381,951.50 = 381,951.50/x
  3. Step 3: Cross multiply
    267,117.50x = 381,951.50 × 381,951.50
  4. Step 4: Simplify right side
    267,117.50x = 145,886,948,352.25
  5. Step 5: Solve for x
    x = 145,886,948,352.25/267,117.50
  6. Step 6: Final answer
    x = 546,152.72

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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.