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Finding the Third Proportional to 166,743 and 365,109

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Solution

The third proportional to 166,743 and 365,109 is: 799,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,743 : 365,109 = 365,109 : x
  2. Step 2: Convert to fraction form
    166,743/365,109 = 365,109/x
  3. Step 3: Cross multiply
    166,743x = 365,109 × 365,109
  4. Step 4: Simplify right side
    166,743x = 133,304,581,881
  5. Step 5: Solve for x
    x = 133,304,581,881/166,743
  6. Step 6: Final answer
    x = 799,461.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.