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Finding the Third Proportional to 208 and 230.25

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Solution

The third proportional to 208 and 230.25 is: 254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 230.25 = 230.25 : x
  2. Step 2: Convert to fraction form
    208/230.25 = 230.25/x
  3. Step 3: Cross multiply
    208x = 230.25 × 230.25
  4. Step 4: Simplify right side
    208x = 53,015.06
  5. Step 5: Solve for x
    x = 53,015.06/208
  6. Step 6: Final answer
    x = 254.88

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.