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Finding the Third Proportional to 206,944.88 and 278,103.38

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Solution

The third proportional to 206,944.88 and 278,103.38 is: 373,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,944.88 : 278,103.38 = 278,103.38 : x
  2. Step 2: Convert to fraction form
    206,944.88/278,103.38 = 278,103.38/x
  3. Step 3: Cross multiply
    206,944.88x = 278,103.38 × 278,103.38
  4. Step 4: Simplify right side
    206,944.88x = 77,341,487,186.39
  5. Step 5: Solve for x
    x = 77,341,487,186.39/206,944.88
  6. Step 6: Final answer
    x = 373,729.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.