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Finding the Third Proportional to 130,230 and 267,372

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Solution

The third proportional to 130,230 and 267,372 is: 548,934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,230 : 267,372 = 267,372 : x
  2. Step 2: Convert to fraction form
    130,230/267,372 = 267,372/x
  3. Step 3: Cross multiply
    130,230x = 267,372 × 267,372
  4. Step 4: Simplify right side
    130,230x = 71,487,786,384
  5. Step 5: Solve for x
    x = 71,487,786,384/130,230
  6. Step 6: Final answer
    x = 548,934.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.