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Finding the Third Proportional to 168,912 and 363,744

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Solution

The third proportional to 168,912 and 363,744 is: 783,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,912 : 363,744 = 363,744 : x
  2. Step 2: Convert to fraction form
    168,912/363,744 = 363,744/x
  3. Step 3: Cross multiply
    168,912x = 363,744 × 363,744
  4. Step 4: Simplify right side
    168,912x = 132,309,697,536
  5. Step 5: Solve for x
    x = 132,309,697,536/168,912
  6. Step 6: Final answer
    x = 783,305.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.