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Finding the Third Proportional to 166,608 and 258,054

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Solution

The third proportional to 166,608 and 258,054 is: 399,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,608 : 258,054 = 258,054 : x
  2. Step 2: Convert to fraction form
    166,608/258,054 = 258,054/x
  3. Step 3: Cross multiply
    166,608x = 258,054 × 258,054
  4. Step 4: Simplify right side
    166,608x = 66,591,866,916
  5. Step 5: Solve for x
    x = 66,591,866,916/166,608
  6. Step 6: Final answer
    x = 399,691.89

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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.