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Finding the Third Proportional to 86,335.50 and 203,517.75

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Solution

The third proportional to 86,335.50 and 203,517.75 is: 479,750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,335.50 : 203,517.75 = 203,517.75 : x
  2. Step 2: Convert to fraction form
    86,335.50/203,517.75 = 203,517.75/x
  3. Step 3: Cross multiply
    86,335.50x = 203,517.75 × 203,517.75
  4. Step 4: Simplify right side
    86,335.50x = 41,419,474,565.06
  5. Step 5: Solve for x
    x = 41,419,474,565.06/86,335.50
  6. Step 6: Final answer
    x = 479,750.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.