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Finding the Third Proportional to 168,824 and 394,412

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Solution

The third proportional to 168,824 and 394,412 is: 921,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,824 : 394,412 = 394,412 : x
  2. Step 2: Convert to fraction form
    168,824/394,412 = 394,412/x
  3. Step 3: Cross multiply
    168,824x = 394,412 × 394,412
  4. Step 4: Simplify right side
    168,824x = 155,560,825,744
  5. Step 5: Solve for x
    x = 155,560,825,744/168,824
  6. Step 6: Final answer
    x = 921,437.86

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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.