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Finding the Third Proportional to 185,529 and 397,293

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Solution

The third proportional to 185,529 and 397,293 is: 850,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,529 : 397,293 = 397,293 : x
  2. Step 2: Convert to fraction form
    185,529/397,293 = 397,293/x
  3. Step 3: Cross multiply
    185,529x = 397,293 × 397,293
  4. Step 4: Simplify right side
    185,529x = 157,841,727,849
  5. Step 5: Solve for x
    x = 157,841,727,849/185,529
  6. Step 6: Final answer
    x = 850,765.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.