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Finding the Third Proportional to 94.08 and 205.59

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Solution

The third proportional to 94.08 and 205.59 is: 449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.08 : 205.59 = 205.59 : x
  2. Step 2: Convert to fraction form
    94.08/205.59 = 205.59/x
  3. Step 3: Cross multiply
    94.08x = 205.59 × 205.59
  4. Step 4: Simplify right side
    94.08x = 42,268.79
  5. Step 5: Solve for x
    x = 42,268.79/94.08
  6. Step 6: Final answer
    x = 449.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.