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Finding the Third Proportional to 258.19 and 329.06

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Solution

The third proportional to 258.19 and 329.06 is: 419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 329.06 = 329.06 : x
  2. Step 2: Convert to fraction form
    258.19/329.06 = 329.06/x
  3. Step 3: Cross multiply
    258.19x = 329.06 × 329.06
  4. Step 4: Simplify right side
    258.19x = 108,282.13
  5. Step 5: Solve for x
    x = 108,282.13/258.19
  6. Step 6: Final answer
    x = 419.39

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.