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Finding the Third Proportional to 192,578 and 281,734

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Solution

The third proportional to 192,578 and 281,734 is: 412,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,578 : 281,734 = 281,734 : x
  2. Step 2: Convert to fraction form
    192,578/281,734 = 281,734/x
  3. Step 3: Cross multiply
    192,578x = 281,734 × 281,734
  4. Step 4: Simplify right side
    192,578x = 79,374,046,756
  5. Step 5: Solve for x
    x = 79,374,046,756/192,578
  6. Step 6: Final answer
    x = 412,165.70

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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.