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Finding the Third Proportional to 81,446 and 175,204

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Solution

The third proportional to 81,446 and 175,204 is: 376,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,446 : 175,204 = 175,204 : x
  2. Step 2: Convert to fraction form
    81,446/175,204 = 175,204/x
  3. Step 3: Cross multiply
    81,446x = 175,204 × 175,204
  4. Step 4: Simplify right side
    81,446x = 30,696,441,616
  5. Step 5: Solve for x
    x = 30,696,441,616/81,446
  6. Step 6: Final answer
    x = 376,893.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.