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Finding the Third Proportional to 126,198 and 278,000

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Solution

The third proportional to 126,198 and 278,000 is: 612,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,198 : 278,000 = 278,000 : x
  2. Step 2: Convert to fraction form
    126,198/278,000 = 278,000/x
  3. Step 3: Cross multiply
    126,198x = 278,000 × 278,000
  4. Step 4: Simplify right side
    126,198x = 77,284,000,000
  5. Step 5: Solve for x
    x = 77,284,000,000/126,198
  6. Step 6: Final answer
    x = 612,402.73

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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.