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Finding the Third Proportional to 177,006 and 382,188

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Solution

The third proportional to 177,006 and 382,188 is: 825,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,006 : 382,188 = 382,188 : x
  2. Step 2: Convert to fraction form
    177,006/382,188 = 382,188/x
  3. Step 3: Cross multiply
    177,006x = 382,188 × 382,188
  4. Step 4: Simplify right side
    177,006x = 146,067,667,344
  5. Step 5: Solve for x
    x = 146,067,667,344/177,006
  6. Step 6: Final answer
    x = 825,213.09

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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.