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Finding the Third Proportional to 355.01 and 408.16

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Solution

The third proportional to 355.01 and 408.16 is: 469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.01 : 408.16 = 408.16 : x
  2. Step 2: Convert to fraction form
    355.01/408.16 = 408.16/x
  3. Step 3: Cross multiply
    355.01x = 408.16 × 408.16
  4. Step 4: Simplify right side
    355.01x = 166,597.90
  5. Step 5: Solve for x
    x = 166,597.90/355.01
  6. Step 6: Final answer
    x = 469.28

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.