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Finding the Third Proportional to 131,721.75 and 283,413.38

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Solution

The third proportional to 131,721.75 and 283,413.38 is: 609,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,721.75 : 283,413.38 = 283,413.38 : x
  2. Step 2: Convert to fraction form
    131,721.75/283,413.38 = 283,413.38/x
  3. Step 3: Cross multiply
    131,721.75x = 283,413.38 × 283,413.38
  4. Step 4: Simplify right side
    131,721.75x = 80,323,141,128.89
  5. Step 5: Solve for x
    x = 80,323,141,128.89/131,721.75
  6. Step 6: Final answer
    x = 609,794.06

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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.