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Finding the Third Proportional to 234.19 and 513.94

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Solution

The third proportional to 234.19 and 513.94 is: 1,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.19 : 513.94 = 513.94 : x
  2. Step 2: Convert to fraction form
    234.19/513.94 = 513.94/x
  3. Step 3: Cross multiply
    234.19x = 513.94 × 513.94
  4. Step 4: Simplify right side
    234.19x = 264,131.75
  5. Step 5: Solve for x
    x = 264,131.75/234.19
  6. Step 6: Final answer
    x = 1,127.86

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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.