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Finding the Third Proportional to 166,947 and 365,727

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Solution

The third proportional to 166,947 and 365,727 is: 801,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,947 : 365,727 = 365,727 : x
  2. Step 2: Convert to fraction form
    166,947/365,727 = 365,727/x
  3. Step 3: Cross multiply
    166,947x = 365,727 × 365,727
  4. Step 4: Simplify right side
    166,947x = 133,756,238,529
  5. Step 5: Solve for x
    x = 133,756,238,529/166,947
  6. Step 6: Final answer
    x = 801,189.83

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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.