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Finding the Third Proportional to 230.66 and 472.71

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Solution

The third proportional to 230.66 and 472.71 is: 968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.66 : 472.71 = 472.71 : x
  2. Step 2: Convert to fraction form
    230.66/472.71 = 472.71/x
  3. Step 3: Cross multiply
    230.66x = 472.71 × 472.71
  4. Step 4: Simplify right side
    230.66x = 223,455.63
  5. Step 5: Solve for x
    x = 223,455.63/230.66
  6. Step 6: Final answer
    x = 968.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.