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Finding the Third Proportional to 126,469.13 and 270,966.75

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Solution

The third proportional to 126,469.13 and 270,966.75 is: 580,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,469.13 : 270,966.75 = 270,966.75 : x
  2. Step 2: Convert to fraction form
    126,469.13/270,966.75 = 270,966.75/x
  3. Step 3: Cross multiply
    126,469.13x = 270,966.75 × 270,966.75
  4. Step 4: Simplify right side
    126,469.13x = 73,422,979,605.56
  5. Step 5: Solve for x
    x = 73,422,979,605.56/126,469.13
  6. Step 6: Final answer
    x = 580,560.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.