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Finding the Third Proportional to 155,413.69 and 192,820.50

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Solution

The third proportional to 155,413.69 and 192,820.50 is: 239,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,413.69 : 192,820.50 = 192,820.50 : x
  2. Step 2: Convert to fraction form
    155,413.69/192,820.50 = 192,820.50/x
  3. Step 3: Cross multiply
    155,413.69x = 192,820.50 × 192,820.50
  4. Step 4: Simplify right side
    155,413.69x = 37,179,745,220.25
  5. Step 5: Solve for x
    x = 37,179,745,220.25/155,413.69
  6. Step 6: Final answer
    x = 239,230.83

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These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.