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Finding the Third Proportional to 192,660.75 and 296,493.75

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Solution

The third proportional to 192,660.75 and 296,493.75 is: 456,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,660.75 : 296,493.75 = 296,493.75 : x
  2. Step 2: Convert to fraction form
    192,660.75/296,493.75 = 296,493.75/x
  3. Step 3: Cross multiply
    192,660.75x = 296,493.75 × 296,493.75
  4. Step 4: Simplify right side
    192,660.75x = 87,908,543,789.06
  5. Step 5: Solve for x
    x = 87,908,543,789.06/192,660.75
  6. Step 6: Final answer
    x = 456,286.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.