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Finding the Third Proportional to 166,318.31 and 365,851.69

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Solution

The third proportional to 166,318.31 and 365,851.69 is: 804,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,318.31 : 365,851.69 = 365,851.69 : x
  2. Step 2: Convert to fraction form
    166,318.31/365,851.69 = 365,851.69/x
  3. Step 3: Cross multiply
    166,318.31x = 365,851.69 × 365,851.69
  4. Step 4: Simplify right side
    166,318.31x = 133,847,457,246.60
  5. Step 5: Solve for x
    x = 133,847,457,246.60/166,318.31
  6. Step 6: Final answer
    x = 804,766.81

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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.