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Finding the Third Proportional to 231.75 and 475.03

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Solution

The third proportional to 231.75 and 475.03 is: 973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.75 : 475.03 = 475.03 : x
  2. Step 2: Convert to fraction form
    231.75/475.03 = 475.03/x
  3. Step 3: Cross multiply
    231.75x = 475.03 × 475.03
  4. Step 4: Simplify right side
    231.75x = 225,654.69
  5. Step 5: Solve for x
    x = 225,654.69/231.75
  6. Step 6: Final answer
    x = 973.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.