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Finding the Third Proportional to 166,997 and 368,986

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Solution

The third proportional to 166,997 and 368,986 is: 815,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,997 : 368,986 = 368,986 : x
  2. Step 2: Convert to fraction form
    166,997/368,986 = 368,986/x
  3. Step 3: Cross multiply
    166,997x = 368,986 × 368,986
  4. Step 4: Simplify right side
    166,997x = 136,150,668,196
  5. Step 5: Solve for x
    x = 136,150,668,196/166,997
  6. Step 6: Final answer
    x = 815,288.11

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.