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Finding the Third Proportional to 80,442 and 176,745

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Solution

The third proportional to 80,442 and 176,745 is: 388,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,442 : 176,745 = 176,745 : x
  2. Step 2: Convert to fraction form
    80,442/176,745 = 176,745/x
  3. Step 3: Cross multiply
    80,442x = 176,745 × 176,745
  4. Step 4: Simplify right side
    80,442x = 31,238,795,025
  5. Step 5: Solve for x
    x = 31,238,795,025/80,442
  6. Step 6: Final answer
    x = 388,339.36

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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.