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Finding the Third Proportional to 82,422 and 168,390

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Solution

The third proportional to 82,422 and 168,390 is: 344,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,422 : 168,390 = 168,390 : x
  2. Step 2: Convert to fraction form
    82,422/168,390 = 168,390/x
  3. Step 3: Cross multiply
    82,422x = 168,390 × 168,390
  4. Step 4: Simplify right side
    82,422x = 28,355,192,100
  5. Step 5: Solve for x
    x = 28,355,192,100/82,422
  6. Step 6: Final answer
    x = 344,024.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.