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Finding the Third Proportional to 200.44 and 229.41

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Solution

The third proportional to 200.44 and 229.41 is: 262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.44 : 229.41 = 229.41 : x
  2. Step 2: Convert to fraction form
    200.44/229.41 = 229.41/x
  3. Step 3: Cross multiply
    200.44x = 229.41 × 229.41
  4. Step 4: Simplify right side
    200.44x = 52,627.23
  5. Step 5: Solve for x
    x = 52,627.23/200.44
  6. Step 6: Final answer
    x = 262.56

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.