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Finding the Third Proportional to 179,329 and 378,626

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Solution

The third proportional to 179,329 and 378,626 is: 799,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,329 : 378,626 = 378,626 : x
  2. Step 2: Convert to fraction form
    179,329/378,626 = 378,626/x
  3. Step 3: Cross multiply
    179,329x = 378,626 × 378,626
  4. Step 4: Simplify right side
    179,329x = 143,357,647,876
  5. Step 5: Solve for x
    x = 143,357,647,876/179,329
  6. Step 6: Final answer
    x = 799,411.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.