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Finding the Third Proportional to 259,413.75 and 331,467.75

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Solution

The third proportional to 259,413.75 and 331,467.75 is: 423,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,413.75 : 331,467.75 = 331,467.75 : x
  2. Step 2: Convert to fraction form
    259,413.75/331,467.75 = 331,467.75/x
  3. Step 3: Cross multiply
    259,413.75x = 331,467.75 × 331,467.75
  4. Step 4: Simplify right side
    259,413.75x = 109,870,869,290.06
  5. Step 5: Solve for x
    x = 109,870,869,290.06/259,413.75
  6. Step 6: Final answer
    x = 423,535.26

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.