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Finding the Third Proportional to 84,562 and 182,204

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Solution

The third proportional to 84,562 and 182,204 is: 392,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,562 : 182,204 = 182,204 : x
  2. Step 2: Convert to fraction form
    84,562/182,204 = 182,204/x
  3. Step 3: Cross multiply
    84,562x = 182,204 × 182,204
  4. Step 4: Simplify right side
    84,562x = 33,198,297,616
  5. Step 5: Solve for x
    x = 33,198,297,616/84,562
  6. Step 6: Final answer
    x = 392,591.21

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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.