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Finding the Third Proportional to 260,073.75 and 408,081.75

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Solution

The third proportional to 260,073.75 and 408,081.75 is: 640,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,073.75 : 408,081.75 = 408,081.75 : x
  2. Step 2: Convert to fraction form
    260,073.75/408,081.75 = 408,081.75/x
  3. Step 3: Cross multiply
    260,073.75x = 408,081.75 × 408,081.75
  4. Step 4: Simplify right side
    260,073.75x = 166,530,714,683.06
  5. Step 5: Solve for x
    x = 166,530,714,683.06/260,073.75
  6. Step 6: Final answer
    x = 640,321.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.