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Finding the Third Proportional to 144,676 and 221,183

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Solution

The third proportional to 144,676 and 221,183 is: 338,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,676 : 221,183 = 221,183 : x
  2. Step 2: Convert to fraction form
    144,676/221,183 = 221,183/x
  3. Step 3: Cross multiply
    144,676x = 221,183 × 221,183
  4. Step 4: Simplify right side
    144,676x = 48,921,919,489
  5. Step 5: Solve for x
    x = 48,921,919,489/144,676
  6. Step 6: Final answer
    x = 338,148.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.