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Finding the Third Proportional to 192,642.05 and 305,025.75

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Solution

The third proportional to 192,642.05 and 305,025.75 is: 482,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,642.05 : 305,025.75 = 305,025.75 : x
  2. Step 2: Convert to fraction form
    192,642.05/305,025.75 = 305,025.75/x
  3. Step 3: Cross multiply
    192,642.05x = 305,025.75 × 305,025.75
  4. Step 4: Simplify right side
    192,642.05x = 93,040,708,163.06
  5. Step 5: Solve for x
    x = 93,040,708,163.06/192,642.05
  6. Step 6: Final answer
    x = 482,971.97

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.