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Finding the Third Proportional to 234.94 and 364.31

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Solution

The third proportional to 234.94 and 364.31 is: 564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.94 : 364.31 = 364.31 : x
  2. Step 2: Convert to fraction form
    234.94/364.31 = 364.31/x
  3. Step 3: Cross multiply
    234.94x = 364.31 × 364.31
  4. Step 4: Simplify right side
    234.94x = 132,723.60
  5. Step 5: Solve for x
    x = 132,723.60/234.94
  6. Step 6: Final answer
    x = 564.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.