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Finding the Third Proportional to 230.66 and 475.74

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Solution

The third proportional to 230.66 and 475.74 is: 981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.66 : 475.74 = 475.74 : x
  2. Step 2: Convert to fraction form
    230.66/475.74 = 475.74/x
  3. Step 3: Cross multiply
    230.66x = 475.74 × 475.74
  4. Step 4: Simplify right side
    230.66x = 226,325.29
  5. Step 5: Solve for x
    x = 226,325.29/230.66
  6. Step 6: Final answer
    x = 981.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.