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Finding the Third Proportional to 126,694 and 273,028

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Solution

The third proportional to 126,694 and 273,028 is: 588,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,694 : 273,028 = 273,028 : x
  2. Step 2: Convert to fraction form
    126,694/273,028 = 273,028/x
  3. Step 3: Cross multiply
    126,694x = 273,028 × 273,028
  4. Step 4: Simplify right side
    126,694x = 74,544,288,784
  5. Step 5: Solve for x
    x = 74,544,288,784/126,694
  6. Step 6: Final answer
    x = 588,380.58

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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.