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Finding the Third Proportional to 230 and 378.25

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Solution

The third proportional to 230 and 378.25 is: 622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230 : 378.25 = 378.25 : x
  2. Step 2: Convert to fraction form
    230/378.25 = 378.25/x
  3. Step 3: Cross multiply
    230x = 378.25 × 378.25
  4. Step 4: Simplify right side
    230x = 143,073.06
  5. Step 5: Solve for x
    x = 143,073.06/230
  6. Step 6: Final answer
    x = 622.06

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.