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Finding the Third Proportional to 80,582 and 176,716

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Solution

The third proportional to 80,582 and 176,716 is: 387,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,582 : 176,716 = 176,716 : x
  2. Step 2: Convert to fraction form
    80,582/176,716 = 176,716/x
  3. Step 3: Cross multiply
    80,582x = 176,716 × 176,716
  4. Step 4: Simplify right side
    80,582x = 31,228,544,656
  5. Step 5: Solve for x
    x = 31,228,544,656/80,582
  6. Step 6: Final answer
    x = 387,537.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.