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Finding the Third Proportional to 147.09 and 201.94

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Solution

The third proportional to 147.09 and 201.94 is: 277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.09 : 201.94 = 201.94 : x
  2. Step 2: Convert to fraction form
    147.09/201.94 = 201.94/x
  3. Step 3: Cross multiply
    147.09x = 201.94 × 201.94
  4. Step 4: Simplify right side
    147.09x = 40,778.75
  5. Step 5: Solve for x
    x = 40,778.75/147.09
  6. Step 6: Final answer
    x = 277.23

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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.