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Finding the Third Proportional to 111,309 and 246,626

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Solution

The third proportional to 111,309 and 246,626 is: 546,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,309 : 246,626 = 246,626 : x
  2. Step 2: Convert to fraction form
    111,309/246,626 = 246,626/x
  3. Step 3: Cross multiply
    111,309x = 246,626 × 246,626
  4. Step 4: Simplify right side
    111,309x = 60,824,383,876
  5. Step 5: Solve for x
    x = 60,824,383,876/111,309
  6. Step 6: Final answer
    x = 546,446.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.