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Finding the Third Proportional to 109 and 234.63

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Solution

The third proportional to 109 and 234.63 is: 505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 234.63 = 234.63 : x
  2. Step 2: Convert to fraction form
    109/234.63 = 234.63/x
  3. Step 3: Cross multiply
    109x = 234.63 × 234.63
  4. Step 4: Simplify right side
    109x = 55,048.89
  5. Step 5: Solve for x
    x = 55,048.89/109
  6. Step 6: Final answer
    x = 505.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.