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Finding the Third Proportional to 80,934.75 and 177,932.25

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Solution

The third proportional to 80,934.75 and 177,932.25 is: 391,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,934.75 : 177,932.25 = 177,932.25 : x
  2. Step 2: Convert to fraction form
    80,934.75/177,932.25 = 177,932.25/x
  3. Step 3: Cross multiply
    80,934.75x = 177,932.25 × 177,932.25
  4. Step 4: Simplify right side
    80,934.75x = 31,659,885,590.06
  5. Step 5: Solve for x
    x = 31,659,885,590.06/80,934.75
  6. Step 6: Final answer
    x = 391,177.90

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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.