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Finding the Third Proportional to 209.14 and 331.44

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Solution

The third proportional to 209.14 and 331.44 is: 525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.14 : 331.44 = 331.44 : x
  2. Step 2: Convert to fraction form
    209.14/331.44 = 331.44/x
  3. Step 3: Cross multiply
    209.14x = 331.44 × 331.44
  4. Step 4: Simplify right side
    209.14x = 109,849.52
  5. Step 5: Solve for x
    x = 109,849.52/209.14
  6. Step 6: Final answer
    x = 525.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.