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Finding the Third Proportional to 165,980 and 251,477

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Solution

The third proportional to 165,980 and 251,477 is: 381,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,980 : 251,477 = 251,477 : x
  2. Step 2: Convert to fraction form
    165,980/251,477 = 251,477/x
  3. Step 3: Cross multiply
    165,980x = 251,477 × 251,477
  4. Step 4: Simplify right side
    165,980x = 63,240,681,529
  5. Step 5: Solve for x
    x = 63,240,681,529/165,980
  6. Step 6: Final answer
    x = 381,013.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.