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Finding the Third Proportional to 80,278.17 and 176,446.69

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Solution

The third proportional to 80,278.17 and 176,446.69 is: 387,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,278.17 : 176,446.69 = 176,446.69 : x
  2. Step 2: Convert to fraction form
    80,278.17/176,446.69 = 176,446.69/x
  3. Step 3: Cross multiply
    80,278.17x = 176,446.69 × 176,446.69
  4. Step 4: Simplify right side
    80,278.17x = 31,133,433,529.72
  5. Step 5: Solve for x
    x = 31,133,433,529.72/80,278.17
  6. Step 6: Final answer
    x = 387,819.41

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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.