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Finding the Third Proportional to 181,180 and 299,446

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Solution

The third proportional to 181,180 and 299,446 is: 494,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,180 : 299,446 = 299,446 : x
  2. Step 2: Convert to fraction form
    181,180/299,446 = 299,446/x
  3. Step 3: Cross multiply
    181,180x = 299,446 × 299,446
  4. Step 4: Simplify right side
    181,180x = 89,667,906,916
  5. Step 5: Solve for x
    x = 89,667,906,916/181,180
  6. Step 6: Final answer
    x = 494,910.62

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.