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Finding the Third Proportional to 189.13 and 397.38

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Solution

The third proportional to 189.13 and 397.38 is: 834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.13 : 397.38 = 397.38 : x
  2. Step 2: Convert to fraction form
    189.13/397.38 = 397.38/x
  3. Step 3: Cross multiply
    189.13x = 397.38 × 397.38
  4. Step 4: Simplify right side
    189.13x = 157,906.89
  5. Step 5: Solve for x
    x = 157,906.89/189.13
  6. Step 6: Final answer
    x = 834.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.