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Finding the Third Proportional to 213.38 and 497.81

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Solution

The third proportional to 213.38 and 497.81 is: 1,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.38 : 497.81 = 497.81 : x
  2. Step 2: Convert to fraction form
    213.38/497.81 = 497.81/x
  3. Step 3: Cross multiply
    213.38x = 497.81 × 497.81
  4. Step 4: Simplify right side
    213.38x = 247,817.29
  5. Step 5: Solve for x
    x = 247,817.29/213.38
  6. Step 6: Final answer
    x = 1,161.42

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.