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Finding the Third Proportional to 166,891 and 258,255

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Solution

The third proportional to 166,891 and 258,255 is: 399,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,891 : 258,255 = 258,255 : x
  2. Step 2: Convert to fraction form
    166,891/258,255 = 258,255/x
  3. Step 3: Cross multiply
    166,891x = 258,255 × 258,255
  4. Step 4: Simplify right side
    166,891x = 66,695,645,025
  5. Step 5: Solve for x
    x = 66,695,645,025/166,891
  6. Step 6: Final answer
    x = 399,635.96

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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.