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Finding the Third Proportional to 166,960 and 365,504

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Solution

The third proportional to 166,960 and 365,504 is: 800,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,960 : 365,504 = 365,504 : x
  2. Step 2: Convert to fraction form
    166,960/365,504 = 365,504/x
  3. Step 3: Cross multiply
    166,960x = 365,504 × 365,504
  4. Step 4: Simplify right side
    166,960x = 133,593,174,016
  5. Step 5: Solve for x
    x = 133,593,174,016/166,960
  6. Step 6: Final answer
    x = 800,150.78

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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.