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Finding the Third Proportional to 110,727 and 259,949.25

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Solution

The third proportional to 110,727 and 259,949.25 is: 610,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,727 : 259,949.25 = 259,949.25 : x
  2. Step 2: Convert to fraction form
    110,727/259,949.25 = 259,949.25/x
  3. Step 3: Cross multiply
    110,727x = 259,949.25 × 259,949.25
  4. Step 4: Simplify right side
    110,727x = 67,573,612,575.56
  5. Step 5: Solve for x
    x = 67,573,612,575.56/110,727
  6. Step 6: Final answer
    x = 610,272.22

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