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Finding the Third Proportional to 306.38 and 408.84

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Solution

The third proportional to 306.38 and 408.84 is: 545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.38 : 408.84 = 408.84 : x
  2. Step 2: Convert to fraction form
    306.38/408.84 = 408.84/x
  3. Step 3: Cross multiply
    306.38x = 408.84 × 408.84
  4. Step 4: Simplify right side
    306.38x = 167,153.21
  5. Step 5: Solve for x
    x = 167,153.21/306.38
  6. Step 6: Final answer
    x = 545.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.