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Finding the Third Proportional to 243.94 and 329.81

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Solution

The third proportional to 243.94 and 329.81 is: 445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.94 : 329.81 = 329.81 : x
  2. Step 2: Convert to fraction form
    243.94/329.81 = 329.81/x
  3. Step 3: Cross multiply
    243.94x = 329.81 × 329.81
  4. Step 4: Simplify right side
    243.94x = 108,776.29
  5. Step 5: Solve for x
    x = 108,776.29/243.94
  6. Step 6: Final answer
    x = 445.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.