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Finding the Third Proportional to 80,832 and 176,348

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Solution

The third proportional to 80,832 and 176,348 is: 384,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,832 : 176,348 = 176,348 : x
  2. Step 2: Convert to fraction form
    80,832/176,348 = 176,348/x
  3. Step 3: Cross multiply
    80,832x = 176,348 × 176,348
  4. Step 4: Simplify right side
    80,832x = 31,098,617,104
  5. Step 5: Solve for x
    x = 31,098,617,104/80,832
  6. Step 6: Final answer
    x = 384,731.51

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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.