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Finding the Third Proportional to 230 and 423.25

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Solution

The third proportional to 230 and 423.25 is: 778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230 : 423.25 = 423.25 : x
  2. Step 2: Convert to fraction form
    230/423.25 = 423.25/x
  3. Step 3: Cross multiply
    230x = 423.25 × 423.25
  4. Step 4: Simplify right side
    230x = 179,140.56
  5. Step 5: Solve for x
    x = 179,140.56/230
  6. Step 6: Final answer
    x = 778.87

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.