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Finding the Third Proportional to 166,954 and 258,676

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Solution

The third proportional to 166,954 and 258,676 is: 400,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,954 : 258,676 = 258,676 : x
  2. Step 2: Convert to fraction form
    166,954/258,676 = 258,676/x
  3. Step 3: Cross multiply
    166,954x = 258,676 × 258,676
  4. Step 4: Simplify right side
    166,954x = 66,913,272,976
  5. Step 5: Solve for x
    x = 66,913,272,976/166,954
  6. Step 6: Final answer
    x = 400,788.68

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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.