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Finding the Third Proportional to 200.46 and 227.46

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Solution

The third proportional to 200.46 and 227.46 is: 258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 227.46 = 227.46 : x
  2. Step 2: Convert to fraction form
    200.46/227.46 = 227.46/x
  3. Step 3: Cross multiply
    200.46x = 227.46 × 227.46
  4. Step 4: Simplify right side
    200.46x = 51,738.48
  5. Step 5: Solve for x
    x = 51,738.48/200.46
  6. Step 6: Final answer
    x = 258.10

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.