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Finding the Third Proportional to 179,882 and 394,756

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Solution

The third proportional to 179,882 and 394,756 is: 866,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,882 : 394,756 = 394,756 : x
  2. Step 2: Convert to fraction form
    179,882/394,756 = 394,756/x
  3. Step 3: Cross multiply
    179,882x = 394,756 × 394,756
  4. Step 4: Simplify right side
    179,882x = 155,832,299,536
  5. Step 5: Solve for x
    x = 155,832,299,536/179,882
  6. Step 6: Final answer
    x = 866,302.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.