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Finding the Third Proportional to 215,843.06 and 323,765.44

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Solution

The third proportional to 215,843.06 and 323,765.44 is: 485,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,843.06 : 323,765.44 = 323,765.44 : x
  2. Step 2: Convert to fraction form
    215,843.06/323,765.44 = 323,765.44/x
  3. Step 3: Cross multiply
    215,843.06x = 323,765.44 × 323,765.44
  4. Step 4: Simplify right side
    215,843.06x = 104,824,058,519.57
  5. Step 5: Solve for x
    x = 104,824,058,519.57/215,843.06
  6. Step 6: Final answer
    x = 485,649.42

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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.