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Finding the Third Proportional to 166,174.50 and 365,577

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Solution

The third proportional to 166,174.50 and 365,577 is: 804,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,174.50 : 365,577 = 365,577 : x
  2. Step 2: Convert to fraction form
    166,174.50/365,577 = 365,577/x
  3. Step 3: Cross multiply
    166,174.50x = 365,577 × 365,577
  4. Step 4: Simplify right side
    166,174.50x = 133,646,542,929
  5. Step 5: Solve for x
    x = 133,646,542,929/166,174.50
  6. Step 6: Final answer
    x = 804,254.22

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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.