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Finding the Third Proportional to 166,578 and 364,224

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Solution

The third proportional to 166,578 and 364,224 is: 796,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,578 : 364,224 = 364,224 : x
  2. Step 2: Convert to fraction form
    166,578/364,224 = 364,224/x
  3. Step 3: Cross multiply
    166,578x = 364,224 × 364,224
  4. Step 4: Simplify right side
    166,578x = 132,659,122,176
  5. Step 5: Solve for x
    x = 132,659,122,176/166,578
  6. Step 6: Final answer
    x = 796,378.41

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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.