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Finding the Third Proportional to 166,151.25 and 365,532.75

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Solution

The third proportional to 166,151.25 and 365,532.75 is: 804,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,151.25 : 365,532.75 = 365,532.75 : x
  2. Step 2: Convert to fraction form
    166,151.25/365,532.75 = 365,532.75/x
  3. Step 3: Cross multiply
    166,151.25x = 365,532.75 × 365,532.75
  4. Step 4: Simplify right side
    166,151.25x = 133,614,191,322.56
  5. Step 5: Solve for x
    x = 133,614,191,322.56/166,151.25
  6. Step 6: Final answer
    x = 804,172.05

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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.