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Finding the Third Proportional to 118,734.75 and 256,413.38

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Solution

The third proportional to 118,734.75 and 256,413.38 is: 553,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,734.75 : 256,413.38 = 256,413.38 : x
  2. Step 2: Convert to fraction form
    118,734.75/256,413.38 = 256,413.38/x
  3. Step 3: Cross multiply
    118,734.75x = 256,413.38 × 256,413.38
  4. Step 4: Simplify right side
    118,734.75x = 65,747,818,878.89
  5. Step 5: Solve for x
    x = 65,747,818,878.89/118,734.75
  6. Step 6: Final answer
    x = 553,736.95

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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.