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Finding the Third Proportional to 141.94 and 188.38

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Solution

The third proportional to 141.94 and 188.38 is: 250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.94 : 188.38 = 188.38 : x
  2. Step 2: Convert to fraction form
    141.94/188.38 = 188.38/x
  3. Step 3: Cross multiply
    141.94x = 188.38 × 188.38
  4. Step 4: Simplify right side
    141.94x = 35,485.14
  5. Step 5: Solve for x
    x = 35,485.14/141.94
  6. Step 6: Final answer
    x = 250.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.