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Finding the Third Proportional to 168,844 and 394,462

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Solution

The third proportional to 168,844 and 394,462 is: 921,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,844 : 394,462 = 394,462 : x
  2. Step 2: Convert to fraction form
    168,844/394,462 = 394,462/x
  3. Step 3: Cross multiply
    168,844x = 394,462 × 394,462
  4. Step 4: Simplify right side
    168,844x = 155,600,269,444
  5. Step 5: Solve for x
    x = 155,600,269,444/168,844
  6. Step 6: Final answer
    x = 921,562.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.