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Finding the Third Proportional to 85.38 and 194.94

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Solution

The third proportional to 85.38 and 194.94 is: 445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.38 : 194.94 = 194.94 : x
  2. Step 2: Convert to fraction form
    85.38/194.94 = 194.94/x
  3. Step 3: Cross multiply
    85.38x = 194.94 × 194.94
  4. Step 4: Simplify right side
    85.38x = 38,000.63
  5. Step 5: Solve for x
    x = 38,000.63/85.38
  6. Step 6: Final answer
    x = 445.10

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.