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Finding the Third Proportional to 120,638.75 and 259,975.50

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Solution

The third proportional to 120,638.75 and 259,975.50 is: 560,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,638.75 : 259,975.50 = 259,975.50 : x
  2. Step 2: Convert to fraction form
    120,638.75/259,975.50 = 259,975.50/x
  3. Step 3: Cross multiply
    120,638.75x = 259,975.50 × 259,975.50
  4. Step 4: Simplify right side
    120,638.75x = 67,587,260,600.25
  5. Step 5: Solve for x
    x = 67,587,260,600.25/120,638.75
  6. Step 6: Final answer
    x = 560,245.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.