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Finding the Third Proportional to 192,823 and 395,041

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Solution

The third proportional to 192,823 and 395,041 is: 809,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,823 : 395,041 = 395,041 : x
  2. Step 2: Convert to fraction form
    192,823/395,041 = 395,041/x
  3. Step 3: Cross multiply
    192,823x = 395,041 × 395,041
  4. Step 4: Simplify right side
    192,823x = 156,057,391,681
  5. Step 5: Solve for x
    x = 156,057,391,681/192,823
  6. Step 6: Final answer
    x = 809,329.76

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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.