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Finding the Third Proportional to 111,622 and 240,741

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Solution

The third proportional to 111,622 and 240,741 is: 519,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,622 : 240,741 = 240,741 : x
  2. Step 2: Convert to fraction form
    111,622/240,741 = 240,741/x
  3. Step 3: Cross multiply
    111,622x = 240,741 × 240,741
  4. Step 4: Simplify right side
    111,622x = 57,956,229,081
  5. Step 5: Solve for x
    x = 57,956,229,081/111,622
  6. Step 6: Final answer
    x = 519,218.69

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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.