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Finding the Third Proportional to 126,758.25 and 275,413.50

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Solution

The third proportional to 126,758.25 and 275,413.50 is: 598,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,758.25 : 275,413.50 = 275,413.50 : x
  2. Step 2: Convert to fraction form
    126,758.25/275,413.50 = 275,413.50/x
  3. Step 3: Cross multiply
    126,758.25x = 275,413.50 × 275,413.50
  4. Step 4: Simplify right side
    126,758.25x = 75,852,595,982.25
  5. Step 5: Solve for x
    x = 75,852,595,982.25/126,758.25
  6. Step 6: Final answer
    x = 598,403.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.