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Finding the Third Proportional to 126,240 and 273,938

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Solution

The third proportional to 126,240 and 273,938 is: 594,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,240 : 273,938 = 273,938 : x
  2. Step 2: Convert to fraction form
    126,240/273,938 = 273,938/x
  3. Step 3: Cross multiply
    126,240x = 273,938 × 273,938
  4. Step 4: Simplify right side
    126,240x = 75,042,027,844
  5. Step 5: Solve for x
    x = 75,042,027,844/126,240
  6. Step 6: Final answer
    x = 594,439.38

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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.