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Finding the Third Proportional to 301.75 and 332.56

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Solution

The third proportional to 301.75 and 332.56 is: 366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.75 : 332.56 = 332.56 : x
  2. Step 2: Convert to fraction form
    301.75/332.56 = 332.56/x
  3. Step 3: Cross multiply
    301.75x = 332.56 × 332.56
  4. Step 4: Simplify right side
    301.75x = 110,597.82
  5. Step 5: Solve for x
    x = 110,597.82/301.75
  6. Step 6: Final answer
    x = 366.52

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.