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Finding the Third Proportional to 80,450 and 176,760

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Solution

The third proportional to 80,450 and 176,760 is: 388,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,450 : 176,760 = 176,760 : x
  2. Step 2: Convert to fraction form
    80,450/176,760 = 176,760/x
  3. Step 3: Cross multiply
    80,450x = 176,760 × 176,760
  4. Step 4: Simplify right side
    80,450x = 31,244,097,600
  5. Step 5: Solve for x
    x = 31,244,097,600/80,450
  6. Step 6: Final answer
    x = 388,366.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.