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Finding the Third Proportional to 166,044.94 and 356,276.81

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Solution

The third proportional to 166,044.94 and 356,276.81 is: 764,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,044.94 : 356,276.81 = 356,276.81 : x
  2. Step 2: Convert to fraction form
    166,044.94/356,276.81 = 356,276.81/x
  3. Step 3: Cross multiply
    166,044.94x = 356,276.81 × 356,276.81
  4. Step 4: Simplify right side
    166,044.94x = 126,933,167,125.16
  5. Step 5: Solve for x
    x = 126,933,167,125.16/166,044.94
  6. Step 6: Final answer
    x = 764,450.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.