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Finding the Third Proportional to 192,087 and 281,902.50

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Solution

The third proportional to 192,087 and 281,902.50 is: 413,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,087 : 281,902.50 = 281,902.50 : x
  2. Step 2: Convert to fraction form
    192,087/281,902.50 = 281,902.50/x
  3. Step 3: Cross multiply
    192,087x = 281,902.50 × 281,902.50
  4. Step 4: Simplify right side
    192,087x = 79,469,019,506.25
  5. Step 5: Solve for x
    x = 79,469,019,506.25/192,087
  6. Step 6: Final answer
    x = 413,713.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.