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Finding the Third Proportional to 120,266.25 and 259,600.50

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Solution

The third proportional to 120,266.25 and 259,600.50 is: 560,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,266.25 : 259,600.50 = 259,600.50 : x
  2. Step 2: Convert to fraction form
    120,266.25/259,600.50 = 259,600.50/x
  3. Step 3: Cross multiply
    120,266.25x = 259,600.50 × 259,600.50
  4. Step 4: Simplify right side
    120,266.25x = 67,392,419,600.25
  5. Step 5: Solve for x
    x = 67,392,419,600.25/120,266.25
  6. Step 6: Final answer
    x = 560,360.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.