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Finding the Third Proportional to 126,444 and 270,882

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Solution

The third proportional to 126,444 and 270,882 is: 580,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,444 : 270,882 = 270,882 : x
  2. Step 2: Convert to fraction form
    126,444/270,882 = 270,882/x
  3. Step 3: Cross multiply
    126,444x = 270,882 × 270,882
  4. Step 4: Simplify right side
    126,444x = 73,377,057,924
  5. Step 5: Solve for x
    x = 73,377,057,924/126,444
  6. Step 6: Final answer
    x = 580,312.69

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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.