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Finding the Third Proportional to 94.33 and 205.74

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Solution

The third proportional to 94.33 and 205.74 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.33 : 205.74 = 205.74 : x
  2. Step 2: Convert to fraction form
    94.33/205.74 = 205.74/x
  3. Step 3: Cross multiply
    94.33x = 205.74 × 205.74
  4. Step 4: Simplify right side
    94.33x = 42,330.25
  5. Step 5: Solve for x
    x = 42,330.25/94.33
  6. Step 6: Final answer
    x = 448.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.