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Finding the Third Proportional to 110,571 and 259,926

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Solution

The third proportional to 110,571 and 259,926 is: 611,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,571 : 259,926 = 259,926 : x
  2. Step 2: Convert to fraction form
    110,571/259,926 = 259,926/x
  3. Step 3: Cross multiply
    110,571x = 259,926 × 259,926
  4. Step 4: Simplify right side
    110,571x = 67,561,525,476
  5. Step 5: Solve for x
    x = 67,561,525,476/110,571
  6. Step 6: Final answer
    x = 611,023.92

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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.