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Finding the Third Proportional to 201.94 and 329.34

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Solution

The third proportional to 201.94 and 329.34 is: 537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.94 : 329.34 = 329.34 : x
  2. Step 2: Convert to fraction form
    201.94/329.34 = 329.34/x
  3. Step 3: Cross multiply
    201.94x = 329.34 × 329.34
  4. Step 4: Simplify right side
    201.94x = 108,467.31
  5. Step 5: Solve for x
    x = 108,467.31/201.94
  6. Step 6: Final answer
    x = 537.13

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.