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Finding the Third Proportional to 80,278.50 and 176,447

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Solution

The third proportional to 80,278.50 and 176,447 is: 387,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,278.50 : 176,447 = 176,447 : x
  2. Step 2: Convert to fraction form
    80,278.50/176,447 = 176,447/x
  3. Step 3: Cross multiply
    80,278.50x = 176,447 × 176,447
  4. Step 4: Simplify right side
    80,278.50x = 31,133,543,809
  5. Step 5: Solve for x
    x = 31,133,543,809/80,278.50
  6. Step 6: Final answer
    x = 387,819.20

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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.