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Finding the Third Proportional to 100,331.50 and 165,413.50

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Solution

The third proportional to 100,331.50 and 165,413.50 is: 272,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,331.50 : 165,413.50 = 165,413.50 : x
  2. Step 2: Convert to fraction form
    100,331.50/165,413.50 = 165,413.50/x
  3. Step 3: Cross multiply
    100,331.50x = 165,413.50 × 165,413.50
  4. Step 4: Simplify right side
    100,331.50x = 27,361,625,982.25
  5. Step 5: Solve for x
    x = 27,361,625,982.25/100,331.50
  6. Step 6: Final answer
    x = 272,712.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.