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Finding the Third Proportional to 168,770.25 and 360,138.75

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Solution

The third proportional to 168,770.25 and 360,138.75 is: 768,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,770.25 : 360,138.75 = 360,138.75 : x
  2. Step 2: Convert to fraction form
    168,770.25/360,138.75 = 360,138.75/x
  3. Step 3: Cross multiply
    168,770.25x = 360,138.75 × 360,138.75
  4. Step 4: Simplify right side
    168,770.25x = 129,699,919,251.56
  5. Step 5: Solve for x
    x = 129,699,919,251.56/168,770.25
  6. Step 6: Final answer
    x = 768,499.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.