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Finding the Third Proportional to 80,832 and 176,352

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Solution

The third proportional to 80,832 and 176,352 is: 384,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,832 : 176,352 = 176,352 : x
  2. Step 2: Convert to fraction form
    80,832/176,352 = 176,352/x
  3. Step 3: Cross multiply
    80,832x = 176,352 × 176,352
  4. Step 4: Simplify right side
    80,832x = 31,100,027,904
  5. Step 5: Solve for x
    x = 31,100,027,904/80,832
  6. Step 6: Final answer
    x = 384,748.96

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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.