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Finding the Third Proportional to 169,605 and 263,744

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Solution

The third proportional to 169,605 and 263,744 is: 410,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,605 : 263,744 = 263,744 : x
  2. Step 2: Convert to fraction form
    169,605/263,744 = 263,744/x
  3. Step 3: Cross multiply
    169,605x = 263,744 × 263,744
  4. Step 4: Simplify right side
    169,605x = 69,560,897,536
  5. Step 5: Solve for x
    x = 69,560,897,536/169,605
  6. Step 6: Final answer
    x = 410,134.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.