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Finding the Third Proportional to 301.75 and 475.25

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Solution

The third proportional to 301.75 and 475.25 is: 748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.75 : 475.25 = 475.25 : x
  2. Step 2: Convert to fraction form
    301.75/475.25 = 475.25/x
  3. Step 3: Cross multiply
    301.75x = 475.25 × 475.25
  4. Step 4: Simplify right side
    301.75x = 225,862.56
  5. Step 5: Solve for x
    x = 225,862.56/301.75
  6. Step 6: Final answer
    x = 748.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.