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Finding the Third Proportional to 102.52 and 227.81

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Solution

The third proportional to 102.52 and 227.81 is: 506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 227.81 = 227.81 : x
  2. Step 2: Convert to fraction form
    102.52/227.81 = 227.81/x
  3. Step 3: Cross multiply
    102.52x = 227.81 × 227.81
  4. Step 4: Simplify right side
    102.52x = 51,898.54
  5. Step 5: Solve for x
    x = 51,898.54/102.52
  6. Step 6: Final answer
    x = 506.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.