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Finding the Third Proportional to 110,774 and 240,244

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Solution

The third proportional to 110,774 and 240,244 is: 521,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,774 : 240,244 = 240,244 : x
  2. Step 2: Convert to fraction form
    110,774/240,244 = 240,244/x
  3. Step 3: Cross multiply
    110,774x = 240,244 × 240,244
  4. Step 4: Simplify right side
    110,774x = 57,717,179,536
  5. Step 5: Solve for x
    x = 57,717,179,536/110,774
  6. Step 6: Final answer
    x = 521,035.44

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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.