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Finding the Third Proportional to 166,680 and 364,644

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Solution

The third proportional to 166,680 and 364,644 is: 797,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,680 : 364,644 = 364,644 : x
  2. Step 2: Convert to fraction form
    166,680/364,644 = 364,644/x
  3. Step 3: Cross multiply
    166,680x = 364,644 × 364,644
  4. Step 4: Simplify right side
    166,680x = 132,965,246,736
  5. Step 5: Solve for x
    x = 132,965,246,736/166,680
  6. Step 6: Final answer
    x = 797,727.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.