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Finding the Third Proportional to 192,408 and 281,164

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Solution

The third proportional to 192,408 and 281,164 is: 410,862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,408 : 281,164 = 281,164 : x
  2. Step 2: Convert to fraction form
    192,408/281,164 = 281,164/x
  3. Step 3: Cross multiply
    192,408x = 281,164 × 281,164
  4. Step 4: Simplify right side
    192,408x = 79,053,194,896
  5. Step 5: Solve for x
    x = 79,053,194,896/192,408
  6. Step 6: Final answer
    x = 410,862.31

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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.