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Finding the Third Proportional to 110,794 and 240,380

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Solution

The third proportional to 110,794 and 240,380 is: 521,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,794 : 240,380 = 240,380 : x
  2. Step 2: Convert to fraction form
    110,794/240,380 = 240,380/x
  3. Step 3: Cross multiply
    110,794x = 240,380 × 240,380
  4. Step 4: Simplify right side
    110,794x = 57,782,544,400
  5. Step 5: Solve for x
    x = 57,782,544,400/110,794
  6. Step 6: Final answer
    x = 521,531.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.