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Finding the Third Proportional to 155,413.69 and 335,636.16

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Solution

The third proportional to 155,413.69 and 335,636.16 is: 724,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,413.69 : 335,636.16 = 335,636.16 : x
  2. Step 2: Convert to fraction form
    155,413.69/335,636.16 = 335,636.16/x
  3. Step 3: Cross multiply
    155,413.69x = 335,636.16 × 335,636.16
  4. Step 4: Simplify right side
    155,413.69x = 112,651,629,382.27
  5. Step 5: Solve for x
    x = 112,651,629,382.27/155,413.69
  6. Step 6: Final answer
    x = 724,850.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.