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Finding the Third Proportional to 166,282.24 and 365,777.65

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Solution

The third proportional to 166,282.24 and 365,777.65 is: 804,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,282.24 : 365,777.65 = 365,777.65 : x
  2. Step 2: Convert to fraction form
    166,282.24/365,777.65 = 365,777.65/x
  3. Step 3: Cross multiply
    166,282.24x = 365,777.65 × 365,777.65
  4. Step 4: Simplify right side
    166,282.24x = 133,793,288,096.47
  5. Step 5: Solve for x
    x = 133,793,288,096.47/166,282.24
  6. Step 6: Final answer
    x = 804,615.61

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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.