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Finding the Third Proportional to 166,887 and 258,249

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Solution

The third proportional to 166,887 and 258,249 is: 399,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,887 : 258,249 = 258,249 : x
  2. Step 2: Convert to fraction form
    166,887/258,249 = 258,249/x
  3. Step 3: Cross multiply
    166,887x = 258,249 × 258,249
  4. Step 4: Simplify right side
    166,887x = 66,692,546,001
  5. Step 5: Solve for x
    x = 66,692,546,001/166,887
  6. Step 6: Final answer
    x = 399,626.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.