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Finding the Third Proportional to 225.35 and 329.27

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Solution

The third proportional to 225.35 and 329.27 is: 481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.35 : 329.27 = 329.27 : x
  2. Step 2: Convert to fraction form
    225.35/329.27 = 329.27/x
  3. Step 3: Cross multiply
    225.35x = 329.27 × 329.27
  4. Step 4: Simplify right side
    225.35x = 108,421.00
  5. Step 5: Solve for x
    x = 108,421.00/225.35
  6. Step 6: Final answer
    x = 481.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.