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Finding the Third Proportional to 367.17 and 404.30

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Solution

The third proportional to 367.17 and 404.30 is: 445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.17 : 404.30 = 404.30 : x
  2. Step 2: Convert to fraction form
    367.17/404.30 = 404.30/x
  3. Step 3: Cross multiply
    367.17x = 404.30 × 404.30
  4. Step 4: Simplify right side
    367.17x = 163,455.96
  5. Step 5: Solve for x
    x = 163,455.96/367.17
  6. Step 6: Final answer
    x = 445.18

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.