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Finding the Third Proportional to 339 and 374.25

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Solution

The third proportional to 339 and 374.25 is: 413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    339 : 374.25 = 374.25 : x
  2. Step 2: Convert to fraction form
    339/374.25 = 374.25/x
  3. Step 3: Cross multiply
    339x = 374.25 × 374.25
  4. Step 4: Simplify right side
    339x = 140,063.06
  5. Step 5: Solve for x
    x = 140,063.06/339
  6. Step 6: Final answer
    x = 413.17

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.