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Finding the Third Proportional to 234.84 and 513.98

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Solution

The third proportional to 234.84 and 513.98 is: 1,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.84 : 513.98 = 513.98 : x
  2. Step 2: Convert to fraction form
    234.84/513.98 = 513.98/x
  3. Step 3: Cross multiply
    234.84x = 513.98 × 513.98
  4. Step 4: Simplify right side
    234.84x = 264,179.94
  5. Step 5: Solve for x
    x = 264,179.94/234.84
  6. Step 6: Final answer
    x = 1,124.92

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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.