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Finding the Third Proportional to 166,273.50 and 365,763

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Solution

The third proportional to 166,273.50 and 365,763 is: 804,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,273.50 : 365,763 = 365,763 : x
  2. Step 2: Convert to fraction form
    166,273.50/365,763 = 365,763/x
  3. Step 3: Cross multiply
    166,273.50x = 365,763 × 365,763
  4. Step 4: Simplify right side
    166,273.50x = 133,782,572,169
  5. Step 5: Solve for x
    x = 133,782,572,169/166,273.50
  6. Step 6: Final answer
    x = 804,593.47

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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.