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Finding the Third Proportional to 192,577.50 and 281,734.88

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Solution

The third proportional to 192,577.50 and 281,734.88 is: 412,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,577.50 : 281,734.88 = 281,734.88 : x
  2. Step 2: Convert to fraction form
    192,577.50/281,734.88 = 281,734.88/x
  3. Step 3: Cross multiply
    192,577.50x = 281,734.88 × 281,734.88
  4. Step 4: Simplify right side
    192,577.50x = 79,374,539,791.27
  5. Step 5: Solve for x
    x = 79,374,539,791.27/192,577.50
  6. Step 6: Final answer
    x = 412,169.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.