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Finding the Third Proportional to 234 and 506.81

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Solution

The third proportional to 234 and 506.81 is: 1,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234 : 506.81 = 506.81 : x
  2. Step 2: Convert to fraction form
    234/506.81 = 506.81/x
  3. Step 3: Cross multiply
    234x = 506.81 × 506.81
  4. Step 4: Simplify right side
    234x = 256,858.91
  5. Step 5: Solve for x
    x = 256,858.91/234
  6. Step 6: Final answer
    x = 1,097.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.