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Finding the Third Proportional to 172,449 and 376,839

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Solution

The third proportional to 172,449 and 376,839 is: 823,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,449 : 376,839 = 376,839 : x
  2. Step 2: Convert to fraction form
    172,449/376,839 = 376,839/x
  3. Step 3: Cross multiply
    172,449x = 376,839 × 376,839
  4. Step 4: Simplify right side
    172,449x = 142,007,631,921
  5. Step 5: Solve for x
    x = 142,007,631,921/172,449
  6. Step 6: Final answer
    x = 823,476.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.