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Finding the Third Proportional to 193,869 and 284,413.50

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Solution

The third proportional to 193,869 and 284,413.50 is: 417,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,869 : 284,413.50 = 284,413.50 : x
  2. Step 2: Convert to fraction form
    193,869/284,413.50 = 284,413.50/x
  3. Step 3: Cross multiply
    193,869x = 284,413.50 × 284,413.50
  4. Step 4: Simplify right side
    193,869x = 80,891,038,982.25
  5. Step 5: Solve for x
    x = 80,891,038,982.25/193,869
  6. Step 6: Final answer
    x = 417,245.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.