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Finding the Third Proportional to 166,586 and 364,240

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Solution

The third proportional to 166,586 and 364,240 is: 796,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,586 : 364,240 = 364,240 : x
  2. Step 2: Convert to fraction form
    166,586/364,240 = 364,240/x
  3. Step 3: Cross multiply
    166,586x = 364,240 × 364,240
  4. Step 4: Simplify right side
    166,586x = 132,670,777,600
  5. Step 5: Solve for x
    x = 132,670,777,600/166,586
  6. Step 6: Final answer
    x = 796,410.13

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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.