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Finding the Third Proportional to 227.72 and 350.06

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Solution

The third proportional to 227.72 and 350.06 is: 538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.72 : 350.06 = 350.06 : x
  2. Step 2: Convert to fraction form
    227.72/350.06 = 350.06/x
  3. Step 3: Cross multiply
    227.72x = 350.06 × 350.06
  4. Step 4: Simplify right side
    227.72x = 122,543.75
  5. Step 5: Solve for x
    x = 122,543.75/227.72
  6. Step 6: Final answer
    x = 538.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.