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Finding the Third Proportional to 192,412 and 281,170

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Solution

The third proportional to 192,412 and 281,170 is: 410,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,412 : 281,170 = 281,170 : x
  2. Step 2: Convert to fraction form
    192,412/281,170 = 281,170/x
  3. Step 3: Cross multiply
    192,412x = 281,170 × 281,170
  4. Step 4: Simplify right side
    192,412x = 79,056,568,900
  5. Step 5: Solve for x
    x = 79,056,568,900/192,412
  6. Step 6: Final answer
    x = 410,871.30

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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.