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Finding the Third Proportional to 126,238 and 273,934

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Solution

The third proportional to 126,238 and 273,934 is: 594,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,238 : 273,934 = 273,934 : x
  2. Step 2: Convert to fraction form
    126,238/273,934 = 273,934/x
  3. Step 3: Cross multiply
    126,238x = 273,934 × 273,934
  4. Step 4: Simplify right side
    126,238x = 75,039,836,356
  5. Step 5: Solve for x
    x = 75,039,836,356/126,238
  6. Step 6: Final answer
    x = 594,431.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.