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Finding the Third Proportional to 213.50 and 230.25

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Solution

The third proportional to 213.50 and 230.25 is: 248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.50 : 230.25 = 230.25 : x
  2. Step 2: Convert to fraction form
    213.50/230.25 = 230.25/x
  3. Step 3: Cross multiply
    213.50x = 230.25 × 230.25
  4. Step 4: Simplify right side
    213.50x = 53,015.06
  5. Step 5: Solve for x
    x = 53,015.06/213.50
  6. Step 6: Final answer
    x = 248.31

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.