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Finding the Third Proportional to 263,229.75 and 397,200.38

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Solution

The third proportional to 263,229.75 and 397,200.38 is: 599,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,229.75 : 397,200.38 = 397,200.38 : x
  2. Step 2: Convert to fraction form
    263,229.75/397,200.38 = 397,200.38/x
  3. Step 3: Cross multiply
    263,229.75x = 397,200.38 × 397,200.38
  4. Step 4: Simplify right side
    263,229.75x = 157,768,137,900.14
  5. Step 5: Solve for x
    x = 157,768,137,900.14/263,229.75
  6. Step 6: Final answer
    x = 599,355.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.