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Finding the Third Proportional to 218.95 and 329.06

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Solution

The third proportional to 218.95 and 329.06 is: 494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.95 : 329.06 = 329.06 : x
  2. Step 2: Convert to fraction form
    218.95/329.06 = 329.06/x
  3. Step 3: Cross multiply
    218.95x = 329.06 × 329.06
  4. Step 4: Simplify right side
    218.95x = 108,282.13
  5. Step 5: Solve for x
    x = 108,282.13/218.95
  6. Step 6: Final answer
    x = 494.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.