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Finding the Third Proportional to 204,692.06 and 444,175.31

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Solution

The third proportional to 204,692.06 and 444,175.31 is: 963,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,692.06 : 444,175.31 = 444,175.31 : x
  2. Step 2: Convert to fraction form
    204,692.06/444,175.31 = 444,175.31/x
  3. Step 3: Cross multiply
    204,692.06x = 444,175.31 × 444,175.31
  4. Step 4: Simplify right side
    204,692.06x = 197,291,708,234.47
  5. Step 5: Solve for x
    x = 197,291,708,234.47/204,692.06
  6. Step 6: Final answer
    x = 963,846.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.