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Finding the Third Proportional to 110,384 and 240,100

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Solution

The third proportional to 110,384 and 240,100 is: 522,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,384 : 240,100 = 240,100 : x
  2. Step 2: Convert to fraction form
    110,384/240,100 = 240,100/x
  3. Step 3: Cross multiply
    110,384x = 240,100 × 240,100
  4. Step 4: Simplify right side
    110,384x = 57,648,010,000
  5. Step 5: Solve for x
    x = 57,648,010,000/110,384
  6. Step 6: Final answer
    x = 522,249.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.