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Finding the Third Proportional to 192,580 and 281,737

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Solution

The third proportional to 192,580 and 281,737 is: 412,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,580 : 281,737 = 281,737 : x
  2. Step 2: Convert to fraction form
    192,580/281,737 = 281,737/x
  3. Step 3: Cross multiply
    192,580x = 281,737 × 281,737
  4. Step 4: Simplify right side
    192,580x = 79,375,737,169
  5. Step 5: Solve for x
    x = 79,375,737,169/192,580
  6. Step 6: Final answer
    x = 412,170.20

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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.