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Finding the Third Proportional to 230.66 and 454.91

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Solution

The third proportional to 230.66 and 454.91 is: 897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.66 : 454.91 = 454.91 : x
  2. Step 2: Convert to fraction form
    230.66/454.91 = 454.91/x
  3. Step 3: Cross multiply
    230.66x = 454.91 × 454.91
  4. Step 4: Simplify right side
    230.66x = 206,945.92
  5. Step 5: Solve for x
    x = 206,945.92/230.66
  6. Step 6: Final answer
    x = 897.19

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.