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Finding the Third Proportional to 110,538 and 259,832

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Solution

The third proportional to 110,538 and 259,832 is: 610,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,538 : 259,832 = 259,832 : x
  2. Step 2: Convert to fraction form
    110,538/259,832 = 259,832/x
  3. Step 3: Cross multiply
    110,538x = 259,832 × 259,832
  4. Step 4: Simplify right side
    110,538x = 67,512,668,224
  5. Step 5: Solve for x
    x = 67,512,668,224/110,538
  6. Step 6: Final answer
    x = 610,764.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.