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Finding the Third Proportional to 166,647 and 366,647

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Solution

The third proportional to 166,647 and 366,647 is: 806,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,647 : 366,647 = 366,647 : x
  2. Step 2: Convert to fraction form
    166,647/366,647 = 366,647/x
  3. Step 3: Cross multiply
    166,647x = 366,647 × 366,647
  4. Step 4: Simplify right side
    166,647x = 134,430,022,609
  5. Step 5: Solve for x
    x = 134,430,022,609/166,647
  6. Step 6: Final answer
    x = 806,675.32

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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.