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Finding the Third Proportional to 166,923 and 258,859

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Solution

The third proportional to 166,923 and 258,859 is: 401,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,923 : 258,859 = 258,859 : x
  2. Step 2: Convert to fraction form
    166,923/258,859 = 258,859/x
  3. Step 3: Cross multiply
    166,923x = 258,859 × 258,859
  4. Step 4: Simplify right side
    166,923x = 67,007,981,881
  5. Step 5: Solve for x
    x = 67,007,981,881/166,923
  6. Step 6: Final answer
    x = 401,430.49

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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.