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Finding the Third Proportional to 166,288 and 258,009

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Solution

The third proportional to 166,288 and 258,009 is: 400,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,288 : 258,009 = 258,009 : x
  2. Step 2: Convert to fraction form
    166,288/258,009 = 258,009/x
  3. Step 3: Cross multiply
    166,288x = 258,009 × 258,009
  4. Step 4: Simplify right side
    166,288x = 66,568,644,081
  5. Step 5: Solve for x
    x = 66,568,644,081/166,288
  6. Step 6: Final answer
    x = 400,321.39

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Why These Related Problems?

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