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Finding the Third Proportional to 94.57 and 211.29

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Solution

The third proportional to 94.57 and 211.29 is: 472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.57 : 211.29 = 211.29 : x
  2. Step 2: Convert to fraction form
    94.57/211.29 = 211.29/x
  3. Step 3: Cross multiply
    94.57x = 211.29 × 211.29
  4. Step 4: Simplify right side
    94.57x = 44,643.07
  5. Step 5: Solve for x
    x = 44,643.07/94.57
  6. Step 6: Final answer
    x = 472.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.