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Finding the Third Proportional to 177,016 and 382,204

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Solution

The third proportional to 177,016 and 382,204 is: 825,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,016 : 382,204 = 382,204 : x
  2. Step 2: Convert to fraction form
    177,016/382,204 = 382,204/x
  3. Step 3: Cross multiply
    177,016x = 382,204 × 382,204
  4. Step 4: Simplify right side
    177,016x = 146,079,897,616
  5. Step 5: Solve for x
    x = 146,079,897,616/177,016
  6. Step 6: Final answer
    x = 825,235.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.