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Finding the Third Proportional to 111,686 and 240,867

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Solution

The third proportional to 111,686 and 240,867 is: 519,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,686 : 240,867 = 240,867 : x
  2. Step 2: Convert to fraction form
    111,686/240,867 = 240,867/x
  3. Step 3: Cross multiply
    111,686x = 240,867 × 240,867
  4. Step 4: Simplify right side
    111,686x = 58,016,911,689
  5. Step 5: Solve for x
    x = 58,016,911,689/111,686
  6. Step 6: Final answer
    x = 519,464.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.