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Finding the Third Proportional to 109,814 and 239,766

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Solution

The third proportional to 109,814 and 239,766 is: 523,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,814 : 239,766 = 239,766 : x
  2. Step 2: Convert to fraction form
    109,814/239,766 = 239,766/x
  3. Step 3: Cross multiply
    109,814x = 239,766 × 239,766
  4. Step 4: Simplify right side
    109,814x = 57,487,734,756
  5. Step 5: Solve for x
    x = 57,487,734,756/109,814
  6. Step 6: Final answer
    x = 523,500.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.