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Finding the Third Proportional to 113,134.50 and 223,413.50

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Solution

The third proportional to 113,134.50 and 223,413.50 is: 441,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,134.50 : 223,413.50 = 223,413.50 : x
  2. Step 2: Convert to fraction form
    113,134.50/223,413.50 = 223,413.50/x
  3. Step 3: Cross multiply
    113,134.50x = 223,413.50 × 223,413.50
  4. Step 4: Simplify right side
    113,134.50x = 49,913,591,982.25
  5. Step 5: Solve for x
    x = 49,913,591,982.25/113,134.50
  6. Step 6: Final answer
    x = 441,188.07

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.