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Finding the Third Proportional to 167,114 and 258,890

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Solution

The third proportional to 167,114 and 258,890 is: 401,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,114 : 258,890 = 258,890 : x
  2. Step 2: Convert to fraction form
    167,114/258,890 = 258,890/x
  3. Step 3: Cross multiply
    167,114x = 258,890 × 258,890
  4. Step 4: Simplify right side
    167,114x = 67,024,032,100
  5. Step 5: Solve for x
    x = 67,024,032,100/167,114
  6. Step 6: Final answer
    x = 401,067.73

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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.