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Finding the Third Proportional to 192,843 and 395,081

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Solution

The third proportional to 192,843 and 395,081 is: 809,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,843 : 395,081 = 395,081 : x
  2. Step 2: Convert to fraction form
    192,843/395,081 = 395,081/x
  3. Step 3: Cross multiply
    192,843x = 395,081 × 395,081
  4. Step 4: Simplify right side
    192,843x = 156,088,996,561
  5. Step 5: Solve for x
    x = 156,088,996,561/192,843
  6. Step 6: Final answer
    x = 809,409.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.