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Finding the Third Proportional to 74,203.50 and 164,413.50

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Solution

The third proportional to 74,203.50 and 164,413.50 is: 364,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,203.50 : 164,413.50 = 164,413.50 : x
  2. Step 2: Convert to fraction form
    74,203.50/164,413.50 = 164,413.50/x
  3. Step 3: Cross multiply
    74,203.50x = 164,413.50 × 164,413.50
  4. Step 4: Simplify right side
    74,203.50x = 27,031,798,982.25
  5. Step 5: Solve for x
    x = 27,031,798,982.25/74,203.50
  6. Step 6: Final answer
    x = 364,292.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.