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Finding the Third Proportional to 80,932.50 and 176,623.88

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Solution

The third proportional to 80,932.50 and 176,623.88 is: 385,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,932.50 : 176,623.88 = 176,623.88 : x
  2. Step 2: Convert to fraction form
    80,932.50/176,623.88 = 176,623.88/x
  3. Step 3: Cross multiply
    80,932.50x = 176,623.88 × 176,623.88
  4. Step 4: Simplify right side
    80,932.50x = 31,195,993,220.02
  5. Step 5: Solve for x
    x = 31,195,993,220.02/80,932.50
  6. Step 6: Final answer
    x = 385,456.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.