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Finding the Third Proportional to 166,171.50 and 365,571

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Solution

The third proportional to 166,171.50 and 365,571 is: 804,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,171.50 : 365,571 = 365,571 : x
  2. Step 2: Convert to fraction form
    166,171.50/365,571 = 365,571/x
  3. Step 3: Cross multiply
    166,171.50x = 365,571 × 365,571
  4. Step 4: Simplify right side
    166,171.50x = 133,642,156,041
  5. Step 5: Solve for x
    x = 133,642,156,041/166,171.50
  6. Step 6: Final answer
    x = 804,242.34

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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.