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Finding the Third Proportional to 166,761 and 258,606

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Solution

The third proportional to 166,761 and 258,606 is: 401,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,761 : 258,606 = 258,606 : x
  2. Step 2: Convert to fraction form
    166,761/258,606 = 258,606/x
  3. Step 3: Cross multiply
    166,761x = 258,606 × 258,606
  4. Step 4: Simplify right side
    166,761x = 66,877,063,236
  5. Step 5: Solve for x
    x = 66,877,063,236/166,761
  6. Step 6: Final answer
    x = 401,035.39

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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.