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Finding the Third Proportional to 111,400 and 240,366

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Solution

The third proportional to 111,400 and 240,366 is: 518,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,400 : 240,366 = 240,366 : x
  2. Step 2: Convert to fraction form
    111,400/240,366 = 240,366/x
  3. Step 3: Cross multiply
    111,400x = 240,366 × 240,366
  4. Step 4: Simplify right side
    111,400x = 57,775,813,956
  5. Step 5: Solve for x
    x = 57,775,813,956/111,400
  6. Step 6: Final answer
    x = 518,633.88

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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.