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Finding the Third Proportional to 165,861 and 248,529

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Solution

The third proportional to 165,861 and 248,529 is: 372,400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,861 : 248,529 = 248,529 : x
  2. Step 2: Convert to fraction form
    165,861/248,529 = 248,529/x
  3. Step 3: Cross multiply
    165,861x = 248,529 × 248,529
  4. Step 4: Simplify right side
    165,861x = 61,766,663,841
  5. Step 5: Solve for x
    x = 61,766,663,841/165,861
  6. Step 6: Final answer
    x = 372,400.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.