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Finding the Third Proportional to 175,296 and 376,872

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Solution

The third proportional to 175,296 and 376,872 is: 810,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,296 : 376,872 = 376,872 : x
  2. Step 2: Convert to fraction form
    175,296/376,872 = 376,872/x
  3. Step 3: Cross multiply
    175,296x = 376,872 × 376,872
  4. Step 4: Simplify right side
    175,296x = 142,032,504,384
  5. Step 5: Solve for x
    x = 142,032,504,384/175,296
  6. Step 6: Final answer
    x = 810,243.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.