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Finding the Third Proportional to 306.70 and 329.91

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Solution

The third proportional to 306.70 and 329.91 is: 354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.70 : 329.91 = 329.91 : x
  2. Step 2: Convert to fraction form
    306.70/329.91 = 329.91/x
  3. Step 3: Cross multiply
    306.70x = 329.91 × 329.91
  4. Step 4: Simplify right side
    306.70x = 108,838.13
  5. Step 5: Solve for x
    x = 108,838.13/306.70
  6. Step 6: Final answer
    x = 354.86

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.