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Finding the Third Proportional to 182.38 and 207.69

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Solution

The third proportional to 182.38 and 207.69 is: 236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.38 : 207.69 = 207.69 : x
  2. Step 2: Convert to fraction form
    182.38/207.69 = 207.69/x
  3. Step 3: Cross multiply
    182.38x = 207.69 × 207.69
  4. Step 4: Simplify right side
    182.38x = 43,134.10
  5. Step 5: Solve for x
    x = 43,134.10/182.38
  6. Step 6: Final answer
    x = 236.51

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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.