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Finding the Third Proportional to 149.41 and 201.73

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Solution

The third proportional to 149.41 and 201.73 is: 272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.41 : 201.73 = 201.73 : x
  2. Step 2: Convert to fraction form
    149.41/201.73 = 201.73/x
  3. Step 3: Cross multiply
    149.41x = 201.73 × 201.73
  4. Step 4: Simplify right side
    149.41x = 40,693.61
  5. Step 5: Solve for x
    x = 40,693.61/149.41
  6. Step 6: Final answer
    x = 272.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.