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Finding the Third Proportional to 83,466 and 176,864

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Solution

The third proportional to 83,466 and 176,864 is: 374,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,466 : 176,864 = 176,864 : x
  2. Step 2: Convert to fraction form
    83,466/176,864 = 176,864/x
  3. Step 3: Cross multiply
    83,466x = 176,864 × 176,864
  4. Step 4: Simplify right side
    83,466x = 31,280,874,496
  5. Step 5: Solve for x
    x = 31,280,874,496/83,466
  6. Step 6: Final answer
    x = 374,773.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.