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Finding the Third Proportional to 166,646 and 366,644

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Solution

The third proportional to 166,646 and 366,644 is: 806,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,646 : 366,644 = 366,644 : x
  2. Step 2: Convert to fraction form
    166,646/366,644 = 366,644/x
  3. Step 3: Cross multiply
    166,646x = 366,644 × 366,644
  4. Step 4: Simplify right side
    166,646x = 134,427,822,736
  5. Step 5: Solve for x
    x = 134,427,822,736/166,646
  6. Step 6: Final answer
    x = 806,666.96

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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.