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Finding the Third Proportional to 144,013.57 and 313,413.05

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Solution

The third proportional to 144,013.57 and 313,413.05 is: 682,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,013.57 : 313,413.05 = 313,413.05 : x
  2. Step 2: Convert to fraction form
    144,013.57/313,413.05 = 313,413.05/x
  3. Step 3: Cross multiply
    144,013.57x = 313,413.05 × 313,413.05
  4. Step 4: Simplify right side
    144,013.57x = 98,227,737,951.47
  5. Step 5: Solve for x
    x = 98,227,737,951.47/144,013.57
  6. Step 6: Final answer
    x = 682,072.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.