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Finding the Third Proportional to 169,586 and 394,301

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Solution

The third proportional to 169,586 and 394,301 is: 916,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,586 : 394,301 = 394,301 : x
  2. Step 2: Convert to fraction form
    169,586/394,301 = 394,301/x
  3. Step 3: Cross multiply
    169,586x = 394,301 × 394,301
  4. Step 4: Simplify right side
    169,586x = 155,473,278,601
  5. Step 5: Solve for x
    x = 155,473,278,601/169,586
  6. Step 6: Final answer
    x = 916,781.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.