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Finding the Third Proportional to 192,865.50 and 395,127

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Solution

The third proportional to 192,865.50 and 395,127 is: 809,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,865.50 : 395,127 = 395,127 : x
  2. Step 2: Convert to fraction form
    192,865.50/395,127 = 395,127/x
  3. Step 3: Cross multiply
    192,865.50x = 395,127 × 395,127
  4. Step 4: Simplify right side
    192,865.50x = 156,125,346,129
  5. Step 5: Solve for x
    x = 156,125,346,129/192,865.50
  6. Step 6: Final answer
    x = 809,503.75

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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.