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Finding the Third Proportional to 221,864.06 and 332,413.88

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Solution

The third proportional to 221,864.06 and 332,413.88 is: 498,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,864.06 : 332,413.88 = 332,413.88 : x
  2. Step 2: Convert to fraction form
    221,864.06/332,413.88 = 332,413.88/x
  3. Step 3: Cross multiply
    221,864.06x = 332,413.88 × 332,413.88
  4. Step 4: Simplify right side
    221,864.06x = 110,498,984,292.52
  5. Step 5: Solve for x
    x = 110,498,984,292.52/221,864.06
  6. Step 6: Final answer
    x = 498,048.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.