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Finding the Third Proportional to 111,686 and 240,868

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Solution

The third proportional to 111,686 and 240,868 is: 519,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,686 : 240,868 = 240,868 : x
  2. Step 2: Convert to fraction form
    111,686/240,868 = 240,868/x
  3. Step 3: Cross multiply
    111,686x = 240,868 × 240,868
  4. Step 4: Simplify right side
    111,686x = 58,017,393,424
  5. Step 5: Solve for x
    x = 58,017,393,424/111,686
  6. Step 6: Final answer
    x = 519,468.81

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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.