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Finding the Third Proportional to 177,103 and 382,192

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Solution

The third proportional to 177,103 and 382,192 is: 824,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,103 : 382,192 = 382,192 : x
  2. Step 2: Convert to fraction form
    177,103/382,192 = 382,192/x
  3. Step 3: Cross multiply
    177,103x = 382,192 × 382,192
  4. Step 4: Simplify right side
    177,103x = 146,070,724,864
  5. Step 5: Solve for x
    x = 146,070,724,864/177,103
  6. Step 6: Final answer
    x = 824,778.38

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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.