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Finding the Third Proportional to 140,680 and 332,092

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Solution

The third proportional to 140,680 and 332,092 is: 783,942.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,680 : 332,092 = 332,092 : x
  2. Step 2: Convert to fraction form
    140,680/332,092 = 332,092/x
  3. Step 3: Cross multiply
    140,680x = 332,092 × 332,092
  4. Step 4: Simplify right side
    140,680x = 110,285,096,464
  5. Step 5: Solve for x
    x = 110,285,096,464/140,680
  6. Step 6: Final answer
    x = 783,942.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.