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Finding the Third Proportional to 127,354.78 and 275,470.88

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Solution

The third proportional to 127,354.78 and 275,470.88 is: 595,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,354.78 : 275,470.88 = 275,470.88 : x
  2. Step 2: Convert to fraction form
    127,354.78/275,470.88 = 275,470.88/x
  3. Step 3: Cross multiply
    127,354.78x = 275,470.88 × 275,470.88
  4. Step 4: Simplify right side
    127,354.78x = 75,884,202,973.27
  5. Step 5: Solve for x
    x = 75,884,202,973.27/127,354.78
  6. Step 6: Final answer
    x = 595,848.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.