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Finding the Third Proportional to 192,841 and 395,077

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Solution

The third proportional to 192,841 and 395,077 is: 809,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,841 : 395,077 = 395,077 : x
  2. Step 2: Convert to fraction form
    192,841/395,077 = 395,077/x
  3. Step 3: Cross multiply
    192,841x = 395,077 × 395,077
  4. Step 4: Simplify right side
    192,841x = 156,085,835,929
  5. Step 5: Solve for x
    x = 156,085,835,929/192,841
  6. Step 6: Final answer
    x = 809,401.71

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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.