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Finding the Third Proportional to 111,113.25 and 239,601

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Solution

The third proportional to 111,113.25 and 239,601 is: 516,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,113.25 : 239,601 = 239,601 : x
  2. Step 2: Convert to fraction form
    111,113.25/239,601 = 239,601/x
  3. Step 3: Cross multiply
    111,113.25x = 239,601 × 239,601
  4. Step 4: Simplify right side
    111,113.25x = 57,408,639,201
  5. Step 5: Solve for x
    x = 57,408,639,201/111,113.25
  6. Step 6: Final answer
    x = 516,667.81

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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.