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Finding the Third Proportional to 192,642.75 and 307,644.75

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Solution

The third proportional to 192,642.75 and 307,644.75 is: 491,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,642.75 : 307,644.75 = 307,644.75 : x
  2. Step 2: Convert to fraction form
    192,642.75/307,644.75 = 307,644.75/x
  3. Step 3: Cross multiply
    192,642.75x = 307,644.75 × 307,644.75
  4. Step 4: Simplify right side
    192,642.75x = 94,645,292,202.56
  5. Step 5: Solve for x
    x = 94,645,292,202.56/192,642.75
  6. Step 6: Final answer
    x = 491,299.53

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.