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Finding the Third Proportional to 179,311.50 and 422,676

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Solution

The third proportional to 179,311.50 and 422,676 is: 996,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,311.50 : 422,676 = 422,676 : x
  2. Step 2: Convert to fraction form
    179,311.50/422,676 = 422,676/x
  3. Step 3: Cross multiply
    179,311.50x = 422,676 × 422,676
  4. Step 4: Simplify right side
    179,311.50x = 178,655,000,976
  5. Step 5: Solve for x
    x = 178,655,000,976/179,311.50
  6. Step 6: Final answer
    x = 996,338.78

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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.