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Finding the Third Proportional to 166,175 and 365,578

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Solution

The third proportional to 166,175 and 365,578 is: 804,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,175 : 365,578 = 365,578 : x
  2. Step 2: Convert to fraction form
    166,175/365,578 = 365,578/x
  3. Step 3: Cross multiply
    166,175x = 365,578 × 365,578
  4. Step 4: Simplify right side
    166,175x = 133,647,274,084
  5. Step 5: Solve for x
    x = 133,647,274,084/166,175
  6. Step 6: Final answer
    x = 804,256.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.