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Finding the Third Proportional to 126,580 and 270,872

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Solution

The third proportional to 126,580 and 270,872 is: 579,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,580 : 270,872 = 270,872 : x
  2. Step 2: Convert to fraction form
    126,580/270,872 = 270,872/x
  3. Step 3: Cross multiply
    126,580x = 270,872 × 270,872
  4. Step 4: Simplify right side
    126,580x = 73,371,640,384
  5. Step 5: Solve for x
    x = 73,371,640,384/126,580
  6. Step 6: Final answer
    x = 579,646.39

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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.