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Finding the Third Proportional to 166,272.75 and 365,762.25

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Solution

The third proportional to 166,272.75 and 365,762.25 is: 804,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,272.75 : 365,762.25 = 365,762.25 : x
  2. Step 2: Convert to fraction form
    166,272.75/365,762.25 = 365,762.25/x
  3. Step 3: Cross multiply
    166,272.75x = 365,762.25 × 365,762.25
  4. Step 4: Simplify right side
    166,272.75x = 133,782,023,525.06
  5. Step 5: Solve for x
    x = 133,782,023,525.06/166,272.75
  6. Step 6: Final answer
    x = 804,593.80

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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.