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Finding the Third Proportional to 227.39 and 365.34

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Solution

The third proportional to 227.39 and 365.34 is: 586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.39 : 365.34 = 365.34 : x
  2. Step 2: Convert to fraction form
    227.39/365.34 = 365.34/x
  3. Step 3: Cross multiply
    227.39x = 365.34 × 365.34
  4. Step 4: Simplify right side
    227.39x = 133,476.06
  5. Step 5: Solve for x
    x = 133,476.06/227.39
  6. Step 6: Final answer
    x = 586.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.