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Finding the Third Proportional to 239,685.75 and 363,902.63

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Solution

The third proportional to 239,685.75 and 363,902.63 is: 552,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,685.75 : 363,902.63 = 363,902.63 : x
  2. Step 2: Convert to fraction form
    239,685.75/363,902.63 = 363,902.63/x
  3. Step 3: Cross multiply
    239,685.75x = 363,902.63 × 363,902.63
  4. Step 4: Simplify right side
    239,685.75x = 132,425,120,481.89
  5. Step 5: Solve for x
    x = 132,425,120,481.89/239,685.75
  6. Step 6: Final answer
    x = 552,494.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.