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Finding the Third Proportional to 230.20 and 466.03

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Solution

The third proportional to 230.20 and 466.03 is: 943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.20 : 466.03 = 466.03 : x
  2. Step 2: Convert to fraction form
    230.20/466.03 = 466.03/x
  3. Step 3: Cross multiply
    230.20x = 466.03 × 466.03
  4. Step 4: Simplify right side
    230.20x = 217,185.13
  5. Step 5: Solve for x
    x = 217,185.13/230.20
  6. Step 6: Final answer
    x = 943.45

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.