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Finding the Third Proportional to 181.69 and 209.53

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Solution

The third proportional to 181.69 and 209.53 is: 241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.69 : 209.53 = 209.53 : x
  2. Step 2: Convert to fraction form
    181.69/209.53 = 209.53/x
  3. Step 3: Cross multiply
    181.69x = 209.53 × 209.53
  4. Step 4: Simplify right side
    181.69x = 43,903.34
  5. Step 5: Solve for x
    x = 43,903.34/181.69
  6. Step 6: Final answer
    x = 241.64

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.