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Finding the Third Proportional to 230.34 and 513.98

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Solution

The third proportional to 230.34 and 513.98 is: 1,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.34 : 513.98 = 513.98 : x
  2. Step 2: Convert to fraction form
    230.34/513.98 = 513.98/x
  3. Step 3: Cross multiply
    230.34x = 513.98 × 513.98
  4. Step 4: Simplify right side
    230.34x = 264,179.94
  5. Step 5: Solve for x
    x = 264,179.94/230.34
  6. Step 6: Final answer
    x = 1,146.89

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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.