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Finding the Third Proportional to 111,834 and 240,351

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Solution

The third proportional to 111,834 and 240,351 is: 516,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,834 : 240,351 = 240,351 : x
  2. Step 2: Convert to fraction form
    111,834/240,351 = 240,351/x
  3. Step 3: Cross multiply
    111,834x = 240,351 × 240,351
  4. Step 4: Simplify right side
    111,834x = 57,768,603,201
  5. Step 5: Solve for x
    x = 57,768,603,201/111,834
  6. Step 6: Final answer
    x = 516,556.71

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Why These Related Problems?

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