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Finding the Third Proportional to 166,764 and 356,856

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Solution

The third proportional to 166,764 and 356,856 is: 763,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,764 : 356,856 = 356,856 : x
  2. Step 2: Convert to fraction form
    166,764/356,856 = 356,856/x
  3. Step 3: Cross multiply
    166,764x = 356,856 × 356,856
  4. Step 4: Simplify right side
    166,764x = 127,346,204,736
  5. Step 5: Solve for x
    x = 127,346,204,736/166,764
  6. Step 6: Final answer
    x = 763,631.27

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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.