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Finding the Third Proportional to 197.13 and 433.38

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Solution

The third proportional to 197.13 and 433.38 is: 952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.13 : 433.38 = 433.38 : x
  2. Step 2: Convert to fraction form
    197.13/433.38 = 433.38/x
  3. Step 3: Cross multiply
    197.13x = 433.38 × 433.38
  4. Step 4: Simplify right side
    197.13x = 187,813.89
  5. Step 5: Solve for x
    x = 187,813.89/197.13
  6. Step 6: Final answer
    x = 952.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.