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Finding the Third Proportional to 111,918 and 240,401

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Solution

The third proportional to 111,918 and 240,401 is: 516,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,918 : 240,401 = 240,401 : x
  2. Step 2: Convert to fraction form
    111,918/240,401 = 240,401/x
  3. Step 3: Cross multiply
    111,918x = 240,401 × 240,401
  4. Step 4: Simplify right side
    111,918x = 57,792,640,801
  5. Step 5: Solve for x
    x = 57,792,640,801/111,918
  6. Step 6: Final answer
    x = 516,383.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.