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Finding the Third Proportional to 140,676 and 332,082

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Solution

The third proportional to 140,676 and 332,082 is: 783,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,676 : 332,082 = 332,082 : x
  2. Step 2: Convert to fraction form
    140,676/332,082 = 332,082/x
  3. Step 3: Cross multiply
    140,676x = 332,082 × 332,082
  4. Step 4: Simplify right side
    140,676x = 110,278,454,724
  5. Step 5: Solve for x
    x = 110,278,454,724/140,676
  6. Step 6: Final answer
    x = 783,918.04

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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.