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Finding the Third Proportional to 155.38 and 234.31

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Solution

The third proportional to 155.38 and 234.31 is: 353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.38 : 234.31 = 234.31 : x
  2. Step 2: Convert to fraction form
    155.38/234.31 = 234.31/x
  3. Step 3: Cross multiply
    155.38x = 234.31 × 234.31
  4. Step 4: Simplify right side
    155.38x = 54,902.35
  5. Step 5: Solve for x
    x = 54,902.35/155.38
  6. Step 6: Final answer
    x = 353.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.