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Finding the Third Proportional to 179,884 and 394,760

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Solution

The third proportional to 179,884 and 394,760 is: 866,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,884 : 394,760 = 394,760 : x
  2. Step 2: Convert to fraction form
    179,884/394,760 = 394,760/x
  3. Step 3: Cross multiply
    179,884x = 394,760 × 394,760
  4. Step 4: Simplify right side
    179,884x = 155,835,457,600
  5. Step 5: Solve for x
    x = 155,835,457,600/179,884
  6. Step 6: Final answer
    x = 866,310.83

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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.