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Finding the Third Proportional to 147.37 and 201.83

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Solution

The third proportional to 147.37 and 201.83 is: 276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.37 : 201.83 = 201.83 : x
  2. Step 2: Convert to fraction form
    147.37/201.83 = 201.83/x
  3. Step 3: Cross multiply
    147.37x = 201.83 × 201.83
  4. Step 4: Simplify right side
    147.37x = 40,734.39
  5. Step 5: Solve for x
    x = 40,734.39/147.37
  6. Step 6: Final answer
    x = 276.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.