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Finding the Third Proportional to 170,413.50 and 369,039.75

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Solution

The third proportional to 170,413.50 and 369,039.75 is: 799,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,413.50 : 369,039.75 = 369,039.75 : x
  2. Step 2: Convert to fraction form
    170,413.50/369,039.75 = 369,039.75/x
  3. Step 3: Cross multiply
    170,413.50x = 369,039.75 × 369,039.75
  4. Step 4: Simplify right side
    170,413.50x = 136,190,337,080.06
  5. Step 5: Solve for x
    x = 136,190,337,080.06/170,413.50
  6. Step 6: Final answer
    x = 799,175.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.