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Finding the Third Proportional to 111,019 and 239,794

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Solution

The third proportional to 111,019 and 239,794 is: 517,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,019 : 239,794 = 239,794 : x
  2. Step 2: Convert to fraction form
    111,019/239,794 = 239,794/x
  3. Step 3: Cross multiply
    111,019x = 239,794 × 239,794
  4. Step 4: Simplify right side
    111,019x = 57,501,162,436
  5. Step 5: Solve for x
    x = 57,501,162,436/111,019
  6. Step 6: Final answer
    x = 517,939.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.