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Finding the Third Proportional to 117 and 211.75

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Solution

The third proportional to 117 and 211.75 is: 383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 211.75 = 211.75 : x
  2. Step 2: Convert to fraction form
    117/211.75 = 211.75/x
  3. Step 3: Cross multiply
    117x = 211.75 × 211.75
  4. Step 4: Simplify right side
    117x = 44,838.06
  5. Step 5: Solve for x
    x = 44,838.06/117
  6. Step 6: Final answer
    x = 383.23

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.