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Finding the Third Proportional to 146.81 and 329.06

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Solution

The third proportional to 146.81 and 329.06 is: 737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.81 : 329.06 = 329.06 : x
  2. Step 2: Convert to fraction form
    146.81/329.06 = 329.06/x
  3. Step 3: Cross multiply
    146.81x = 329.06 × 329.06
  4. Step 4: Simplify right side
    146.81x = 108,282.13
  5. Step 5: Solve for x
    x = 108,282.13/146.81
  6. Step 6: Final answer
    x = 737.55

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.