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Finding the Third Proportional to 192,085 and 419,162

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Solution

The third proportional to 192,085 and 419,162 is: 914,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,085 : 419,162 = 419,162 : x
  2. Step 2: Convert to fraction form
    192,085/419,162 = 419,162/x
  3. Step 3: Cross multiply
    192,085x = 419,162 × 419,162
  4. Step 4: Simplify right side
    192,085x = 175,696,782,244
  5. Step 5: Solve for x
    x = 175,696,782,244/192,085
  6. Step 6: Final answer
    x = 914,682.47

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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.