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Finding the Third Proportional to 234.44 and 522.81

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Solution

The third proportional to 234.44 and 522.81 is: 1,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.44 : 522.81 = 522.81 : x
  2. Step 2: Convert to fraction form
    234.44/522.81 = 522.81/x
  3. Step 3: Cross multiply
    234.44x = 522.81 × 522.81
  4. Step 4: Simplify right side
    234.44x = 273,332.91
  5. Step 5: Solve for x
    x = 273,332.91/234.44
  6. Step 6: Final answer
    x = 1,165.91

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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.