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Finding the Third Proportional to 181,377 and 377,467

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Solution

The third proportional to 181,377 and 377,467 is: 785,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,377 : 377,467 = 377,467 : x
  2. Step 2: Convert to fraction form
    181,377/377,467 = 377,467/x
  3. Step 3: Cross multiply
    181,377x = 377,467 × 377,467
  4. Step 4: Simplify right side
    181,377x = 142,481,336,089
  5. Step 5: Solve for x
    x = 142,481,336,089/181,377
  6. Step 6: Final answer
    x = 785,553.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.