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Finding the Third Proportional to 192,585 and 281,745

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Solution

The third proportional to 192,585 and 281,745 is: 412,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,585 : 281,745 = 281,745 : x
  2. Step 2: Convert to fraction form
    192,585/281,745 = 281,745/x
  3. Step 3: Cross multiply
    192,585x = 281,745 × 281,745
  4. Step 4: Simplify right side
    192,585x = 79,380,245,025
  5. Step 5: Solve for x
    x = 79,380,245,025/192,585
  6. Step 6: Final answer
    x = 412,182.91

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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.