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Finding the Third Proportional to 150.17 and 329.17

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Solution

The third proportional to 150.17 and 329.17 is: 721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.17 : 329.17 = 329.17 : x
  2. Step 2: Convert to fraction form
    150.17/329.17 = 329.17/x
  3. Step 3: Cross multiply
    150.17x = 329.17 × 329.17
  4. Step 4: Simplify right side
    150.17x = 108,353.72
  5. Step 5: Solve for x
    x = 108,353.72/150.17
  6. Step 6: Final answer
    x = 721.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.