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Finding the Third Proportional to 211 and 303.25

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Solution

The third proportional to 211 and 303.25 is: 435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211 : 303.25 = 303.25 : x
  2. Step 2: Convert to fraction form
    211/303.25 = 303.25/x
  3. Step 3: Cross multiply
    211x = 303.25 × 303.25
  4. Step 4: Simplify right side
    211x = 91,960.56
  5. Step 5: Solve for x
    x = 91,960.56/211
  6. Step 6: Final answer
    x = 435.83

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.