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Finding the Third Proportional to 289.97 and 350.44

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Solution

The third proportional to 289.97 and 350.44 is: 423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.97 : 350.44 = 350.44 : x
  2. Step 2: Convert to fraction form
    289.97/350.44 = 350.44/x
  3. Step 3: Cross multiply
    289.97x = 350.44 × 350.44
  4. Step 4: Simplify right side
    289.97x = 122,806.44
  5. Step 5: Solve for x
    x = 122,806.44/289.97
  6. Step 6: Final answer
    x = 423.52

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.