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Finding the Third Proportional to 107,238 and 235,626

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Solution

The third proportional to 107,238 and 235,626 is: 517,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,238 : 235,626 = 235,626 : x
  2. Step 2: Convert to fraction form
    107,238/235,626 = 235,626/x
  3. Step 3: Cross multiply
    107,238x = 235,626 × 235,626
  4. Step 4: Simplify right side
    107,238x = 55,519,611,876
  5. Step 5: Solve for x
    x = 55,519,611,876/107,238
  6. Step 6: Final answer
    x = 517,723.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.