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Finding the Third Proportional to 192,863 and 395,123

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Solution

The third proportional to 192,863 and 395,123 is: 809,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,863 : 395,123 = 395,123 : x
  2. Step 2: Convert to fraction form
    192,863/395,123 = 395,123/x
  3. Step 3: Cross multiply
    192,863x = 395,123 × 395,123
  4. Step 4: Simplify right side
    192,863x = 156,122,185,129
  5. Step 5: Solve for x
    x = 156,122,185,129/192,863
  6. Step 6: Final answer
    x = 809,497.86

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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.