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Finding the Third Proportional to 94.61 and 226.07

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Solution

The third proportional to 94.61 and 226.07 is: 540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.61 : 226.07 = 226.07 : x
  2. Step 2: Convert to fraction form
    94.61/226.07 = 226.07/x
  3. Step 3: Cross multiply
    94.61x = 226.07 × 226.07
  4. Step 4: Simplify right side
    94.61x = 51,108.67
  5. Step 5: Solve for x
    x = 51,108.67/94.61
  6. Step 6: Final answer
    x = 540.23

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.