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Finding the Third Proportional to 166,884 and 258,802

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Solution

The third proportional to 166,884 and 258,802 is: 401,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,884 : 258,802 = 258,802 : x
  2. Step 2: Convert to fraction form
    166,884/258,802 = 258,802/x
  3. Step 3: Cross multiply
    166,884x = 258,802 × 258,802
  4. Step 4: Simplify right side
    166,884x = 66,978,475,204
  5. Step 5: Solve for x
    x = 66,978,475,204/166,884
  6. Step 6: Final answer
    x = 401,347.49

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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.