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Finding the Third Proportional to 115,659.50 and 267,732

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Solution

The third proportional to 115,659.50 and 267,732 is: 619,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,659.50 : 267,732 = 267,732 : x
  2. Step 2: Convert to fraction form
    115,659.50/267,732 = 267,732/x
  3. Step 3: Cross multiply
    115,659.50x = 267,732 × 267,732
  4. Step 4: Simplify right side
    115,659.50x = 71,680,423,824
  5. Step 5: Solve for x
    x = 71,680,423,824/115,659.50
  6. Step 6: Final answer
    x = 619,753.88

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.