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Finding the Third Proportional to 201.38 and 475.13

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Solution

The third proportional to 201.38 and 475.13 is: 1,121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.38 : 475.13 = 475.13 : x
  2. Step 2: Convert to fraction form
    201.38/475.13 = 475.13/x
  3. Step 3: Cross multiply
    201.38x = 475.13 × 475.13
  4. Step 4: Simplify right side
    201.38x = 225,743.77
  5. Step 5: Solve for x
    x = 225,743.77/201.38
  6. Step 6: Final answer
    x = 1,121.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.