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Finding the Third Proportional to 193.06 and 413.69

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Solution

The third proportional to 193.06 and 413.69 is: 886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.06 : 413.69 = 413.69 : x
  2. Step 2: Convert to fraction form
    193.06/413.69 = 413.69/x
  3. Step 3: Cross multiply
    193.06x = 413.69 × 413.69
  4. Step 4: Simplify right side
    193.06x = 171,137.35
  5. Step 5: Solve for x
    x = 171,137.35/193.06
  6. Step 6: Final answer
    x = 886.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.