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Finding the Third Proportional to 131,067 and 279,299

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Solution

The third proportional to 131,067 and 279,299 is: 595,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,067 : 279,299 = 279,299 : x
  2. Step 2: Convert to fraction form
    131,067/279,299 = 279,299/x
  3. Step 3: Cross multiply
    131,067x = 279,299 × 279,299
  4. Step 4: Simplify right side
    131,067x = 78,007,931,401
  5. Step 5: Solve for x
    x = 78,007,931,401/131,067
  6. Step 6: Final answer
    x = 595,175.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.