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Finding the Third Proportional to 166,494 and 356,808

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Solution

The third proportional to 166,494 and 356,808 is: 764,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,494 : 356,808 = 356,808 : x
  2. Step 2: Convert to fraction form
    166,494/356,808 = 356,808/x
  3. Step 3: Cross multiply
    166,494x = 356,808 × 356,808
  4. Step 4: Simplify right side
    166,494x = 127,311,948,864
  5. Step 5: Solve for x
    x = 127,311,948,864/166,494
  6. Step 6: Final answer
    x = 764,663.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.