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Finding the Third Proportional to 117 and 234

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Solution

The third proportional to 117 and 234 is: 468

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 234 = 234 : x
  2. Step 2: Convert to fraction form
    117/234 = 234/x
  3. Step 3: Cross multiply
    117x = 234 × 234
  4. Step 4: Simplify right side
    117x = 54,756
  5. Step 5: Solve for x
    x = 54,756/117
  6. Step 6: Final answer
    x = 468

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.