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Finding the Third Proportional to 126,640 and 270,229

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Solution

The third proportional to 126,640 and 270,229 is: 576,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,640 : 270,229 = 270,229 : x
  2. Step 2: Convert to fraction form
    126,640/270,229 = 270,229/x
  3. Step 3: Cross multiply
    126,640x = 270,229 × 270,229
  4. Step 4: Simplify right side
    126,640x = 73,023,712,441
  5. Step 5: Solve for x
    x = 73,023,712,441/126,640
  6. Step 6: Final answer
    x = 576,624.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.