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Finding the Third Proportional to 110,504 and 241,249

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Solution

The third proportional to 110,504 and 241,249 is: 526,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,504 : 241,249 = 241,249 : x
  2. Step 2: Convert to fraction form
    110,504/241,249 = 241,249/x
  3. Step 3: Cross multiply
    110,504x = 241,249 × 241,249
  4. Step 4: Simplify right side
    110,504x = 58,201,080,001
  5. Step 5: Solve for x
    x = 58,201,080,001/110,504
  6. Step 6: Final answer
    x = 526,687.54

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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.