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Finding the Third Proportional to 234.84 and 513.14

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Solution

The third proportional to 234.84 and 513.14 is: 1,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.84 : 513.14 = 513.14 : x
  2. Step 2: Convert to fraction form
    234.84/513.14 = 513.14/x
  3. Step 3: Cross multiply
    234.84x = 513.14 × 513.14
  4. Step 4: Simplify right side
    234.84x = 263,313.30
  5. Step 5: Solve for x
    x = 263,313.30/234.84
  6. Step 6: Final answer
    x = 1,121.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.