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Finding the Third Proportional to 94.13 and 206.25

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Solution

The third proportional to 94.13 and 206.25 is: 451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.13 : 206.25 = 206.25 : x
  2. Step 2: Convert to fraction form
    94.13/206.25 = 206.25/x
  3. Step 3: Cross multiply
    94.13x = 206.25 × 206.25
  4. Step 4: Simplify right side
    94.13x = 42,539.06
  5. Step 5: Solve for x
    x = 42,539.06/94.13
  6. Step 6: Final answer
    x = 451.94

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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.