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Finding the Third Proportional to 230.34 and 426.94

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Solution

The third proportional to 230.34 and 426.94 is: 791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.34 : 426.94 = 426.94 : x
  2. Step 2: Convert to fraction form
    230.34/426.94 = 426.94/x
  3. Step 3: Cross multiply
    230.34x = 426.94 × 426.94
  4. Step 4: Simplify right side
    230.34x = 182,275.63
  5. Step 5: Solve for x
    x = 182,275.63/230.34
  6. Step 6: Final answer
    x = 791.32

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.