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Finding the Third Proportional to 177,366 and 382,866

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Solution

The third proportional to 177,366 and 382,866 is: 826,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,366 : 382,866 = 382,866 : x
  2. Step 2: Convert to fraction form
    177,366/382,866 = 382,866/x
  3. Step 3: Cross multiply
    177,366x = 382,866 × 382,866
  4. Step 4: Simplify right side
    177,366x = 146,586,373,956
  5. Step 5: Solve for x
    x = 146,586,373,956/177,366
  6. Step 6: Final answer
    x = 826,462.65

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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.