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Finding the Third Proportional to 230.25 and 352.13

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Solution

The third proportional to 230.25 and 352.13 is: 538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.25 : 352.13 = 352.13 : x
  2. Step 2: Convert to fraction form
    230.25/352.13 = 352.13/x
  3. Step 3: Cross multiply
    230.25x = 352.13 × 352.13
  4. Step 4: Simplify right side
    230.25x = 123,992.02
  5. Step 5: Solve for x
    x = 123,992.02/230.25
  6. Step 6: Final answer
    x = 538.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.