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Finding the Third Proportional to 221,759.25 and 347,474.25

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Solution

The third proportional to 221,759.25 and 347,474.25 is: 544,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,759.25 : 347,474.25 = 347,474.25 : x
  2. Step 2: Convert to fraction form
    221,759.25/347,474.25 = 347,474.25/x
  3. Step 3: Cross multiply
    221,759.25x = 347,474.25 × 347,474.25
  4. Step 4: Simplify right side
    221,759.25x = 120,738,354,413.06
  5. Step 5: Solve for x
    x = 120,738,354,413.06/221,759.25
  6. Step 6: Final answer
    x = 544,456.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.