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Finding the Third Proportional to 263,200.88 and 397,171.50

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Solution

The third proportional to 263,200.88 and 397,171.50 is: 599,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,200.88 : 397,171.50 = 397,171.50 : x
  2. Step 2: Convert to fraction form
    263,200.88/397,171.50 = 397,171.50/x
  3. Step 3: Cross multiply
    263,200.88x = 397,171.50 × 397,171.50
  4. Step 4: Simplify right side
    263,200.88x = 157,745,200,412.25
  5. Step 5: Solve for x
    x = 157,745,200,412.25/263,200.88
  6. Step 6: Final answer
    x = 599,333.88

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