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Finding the Third Proportional to 201.87 and 426.52

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Solution

The third proportional to 201.87 and 426.52 is: 901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.87 : 426.52 = 426.52 : x
  2. Step 2: Convert to fraction form
    201.87/426.52 = 426.52/x
  3. Step 3: Cross multiply
    201.87x = 426.52 × 426.52
  4. Step 4: Simplify right side
    201.87x = 181,915.58
  5. Step 5: Solve for x
    x = 181,915.58/201.87
  6. Step 6: Final answer
    x = 901.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.