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Finding the Third Proportional to 166,845 and 258,561

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Solution

The third proportional to 166,845 and 258,561 is: 400,694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,845 : 258,561 = 258,561 : x
  2. Step 2: Convert to fraction form
    166,845/258,561 = 258,561/x
  3. Step 3: Cross multiply
    166,845x = 258,561 × 258,561
  4. Step 4: Simplify right side
    166,845x = 66,853,790,721
  5. Step 5: Solve for x
    x = 66,853,790,721/166,845
  6. Step 6: Final answer
    x = 400,694.00

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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.