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Finding the Third Proportional to 166,286.25 and 365,787

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Solution

The third proportional to 166,286.25 and 365,787 is: 804,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,286.25 : 365,787 = 365,787 : x
  2. Step 2: Convert to fraction form
    166,286.25/365,787 = 365,787/x
  3. Step 3: Cross multiply
    166,286.25x = 365,787 × 365,787
  4. Step 4: Simplify right side
    166,286.25x = 133,800,129,369
  5. Step 5: Solve for x
    x = 133,800,129,369/166,286.25
  6. Step 6: Final answer
    x = 804,637.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.