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Finding the Third Proportional to 131,280 and 267,376.50

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Solution

The third proportional to 131,280 and 267,376.50 is: 544,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,280 : 267,376.50 = 267,376.50 : x
  2. Step 2: Convert to fraction form
    131,280/267,376.50 = 267,376.50/x
  3. Step 3: Cross multiply
    131,280x = 267,376.50 × 267,376.50
  4. Step 4: Simplify right side
    131,280x = 71,490,192,752.25
  5. Step 5: Solve for x
    x = 71,490,192,752.25/131,280
  6. Step 6: Final answer
    x = 544,562.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.