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Finding the Third Proportional to 168,815.75 and 360,230.38

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Solution

The third proportional to 168,815.75 and 360,230.38 is: 768,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,815.75 : 360,230.38 = 360,230.38 : x
  2. Step 2: Convert to fraction form
    168,815.75/360,230.38 = 360,230.38/x
  3. Step 3: Cross multiply
    168,815.75x = 360,230.38 × 360,230.38
  4. Step 4: Simplify right side
    168,815.75x = 129,765,923,072.64
  5. Step 5: Solve for x
    x = 129,765,923,072.64/168,815.75
  6. Step 6: Final answer
    x = 768,683.75

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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.