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Finding the Third Proportional to 166,756.50 and 365,136.75

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Solution

The third proportional to 166,756.50 and 365,136.75 is: 799,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,756.50 : 365,136.75 = 365,136.75 : x
  2. Step 2: Convert to fraction form
    166,756.50/365,136.75 = 365,136.75/x
  3. Step 3: Cross multiply
    166,756.50x = 365,136.75 × 365,136.75
  4. Step 4: Simplify right side
    166,756.50x = 133,324,846,200.56
  5. Step 5: Solve for x
    x = 133,324,846,200.56/166,756.50
  6. Step 6: Final answer
    x = 799,518.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.