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Finding the Third Proportional to 192,082 and 419,156

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Solution

The third proportional to 192,082 and 419,156 is: 914,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,082 : 419,156 = 419,156 : x
  2. Step 2: Convert to fraction form
    192,082/419,156 = 419,156/x
  3. Step 3: Cross multiply
    192,082x = 419,156 × 419,156
  4. Step 4: Simplify right side
    192,082x = 175,691,752,336
  5. Step 5: Solve for x
    x = 175,691,752,336/192,082
  6. Step 6: Final answer
    x = 914,670.57

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Why These Related Problems?

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