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Finding the Third Proportional to 166,692 and 364,668

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Solution

The third proportional to 166,692 and 364,668 is: 797,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,692 : 364,668 = 364,668 : x
  2. Step 2: Convert to fraction form
    166,692/364,668 = 364,668/x
  3. Step 3: Cross multiply
    166,692x = 364,668 × 364,668
  4. Step 4: Simplify right side
    166,692x = 132,982,750,224
  5. Step 5: Solve for x
    x = 132,982,750,224/166,692
  6. Step 6: Final answer
    x = 797,775.24

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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.