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Finding the Third Proportional to 111,940 and 230,449

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Solution

The third proportional to 111,940 and 230,449 is: 474,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,940 : 230,449 = 230,449 : x
  2. Step 2: Convert to fraction form
    111,940/230,449 = 230,449/x
  3. Step 3: Cross multiply
    111,940x = 230,449 × 230,449
  4. Step 4: Simplify right side
    111,940x = 53,106,741,601
  5. Step 5: Solve for x
    x = 53,106,741,601/111,940
  6. Step 6: Final answer
    x = 474,421.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.