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Finding the Third Proportional to 126,853 and 278,815

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Solution

The third proportional to 126,853 and 278,815 is: 612,818.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,853 : 278,815 = 278,815 : x
  2. Step 2: Convert to fraction form
    126,853/278,815 = 278,815/x
  3. Step 3: Cross multiply
    126,853x = 278,815 × 278,815
  4. Step 4: Simplify right side
    126,853x = 77,737,804,225
  5. Step 5: Solve for x
    x = 77,737,804,225/126,853
  6. Step 6: Final answer
    x = 612,818.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.