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Finding the Third Proportional to 111,786 and 240,218

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Solution

The third proportional to 111,786 and 240,218 is: 516,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,786 : 240,218 = 240,218 : x
  2. Step 2: Convert to fraction form
    111,786/240,218 = 240,218/x
  3. Step 3: Cross multiply
    111,786x = 240,218 × 240,218
  4. Step 4: Simplify right side
    111,786x = 57,704,687,524
  5. Step 5: Solve for x
    x = 57,704,687,524/111,786
  6. Step 6: Final answer
    x = 516,206.75

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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.