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Finding the Third Proportional to 239,775.75 and 319,884.75

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Solution

The third proportional to 239,775.75 and 319,884.75 is: 426,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,775.75 : 319,884.75 = 319,884.75 : x
  2. Step 2: Convert to fraction form
    239,775.75/319,884.75 = 319,884.75/x
  3. Step 3: Cross multiply
    239,775.75x = 319,884.75 × 319,884.75
  4. Step 4: Simplify right side
    239,775.75x = 102,326,253,282.56
  5. Step 5: Solve for x
    x = 102,326,253,282.56/239,775.75
  6. Step 6: Final answer
    x = 426,758.14

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.