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Finding the Third Proportional to 180.75 and 206.38

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Solution

The third proportional to 180.75 and 206.38 is: 235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 206.38 = 206.38 : x
  2. Step 2: Convert to fraction form
    180.75/206.38 = 206.38/x
  3. Step 3: Cross multiply
    180.75x = 206.38 × 206.38
  4. Step 4: Simplify right side
    180.75x = 42,590.64
  5. Step 5: Solve for x
    x = 42,590.64/180.75
  6. Step 6: Final answer
    x = 235.63

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.