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Finding the Third Proportional to 210.66 and 496.27

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Solution

The third proportional to 210.66 and 496.27 is: 1,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.66 : 496.27 = 496.27 : x
  2. Step 2: Convert to fraction form
    210.66/496.27 = 496.27/x
  3. Step 3: Cross multiply
    210.66x = 496.27 × 496.27
  4. Step 4: Simplify right side
    210.66x = 246,279.57
  5. Step 5: Solve for x
    x = 246,279.57/210.66
  6. Step 6: Final answer
    x = 1,169.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.