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Finding the Third Proportional to 192,561.75 and 281,711.25

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Solution

The third proportional to 192,561.75 and 281,711.25 is: 412,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,561.75 : 281,711.25 = 281,711.25 : x
  2. Step 2: Convert to fraction form
    192,561.75/281,711.25 = 281,711.25/x
  3. Step 3: Cross multiply
    192,561.75x = 281,711.25 × 281,711.25
  4. Step 4: Simplify right side
    192,561.75x = 79,361,228,376.56
  5. Step 5: Solve for x
    x = 79,361,228,376.56/192,561.75
  6. Step 6: Final answer
    x = 412,133.92

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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.