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Finding the Third Proportional to 135,975 and 298,867.50

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Solution

The third proportional to 135,975 and 298,867.50 is: 656,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,975 : 298,867.50 = 298,867.50 : x
  2. Step 2: Convert to fraction form
    135,975/298,867.50 = 298,867.50/x
  3. Step 3: Cross multiply
    135,975x = 298,867.50 × 298,867.50
  4. Step 4: Simplify right side
    135,975x = 89,321,782,556.25
  5. Step 5: Solve for x
    x = 89,321,782,556.25/135,975
  6. Step 6: Final answer
    x = 656,898.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.