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Finding the Third Proportional to 355.11 and 404.95

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Solution

The third proportional to 355.11 and 404.95 is: 461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.11 : 404.95 = 404.95 : x
  2. Step 2: Convert to fraction form
    355.11/404.95 = 404.95/x
  3. Step 3: Cross multiply
    355.11x = 404.95 × 404.95
  4. Step 4: Simplify right side
    355.11x = 163,982.29
  5. Step 5: Solve for x
    x = 163,982.29/355.11
  6. Step 6: Final answer
    x = 461.77

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.