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Finding the Third Proportional to 192,079 and 419,150

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Solution

The third proportional to 192,079 and 419,150 is: 914,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,079 : 419,150 = 419,150 : x
  2. Step 2: Convert to fraction form
    192,079/419,150 = 419,150/x
  3. Step 3: Cross multiply
    192,079x = 419,150 × 419,150
  4. Step 4: Simplify right side
    192,079x = 175,686,722,500
  5. Step 5: Solve for x
    x = 175,686,722,500/192,079
  6. Step 6: Final answer
    x = 914,658.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.