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Finding the Third Proportional to 82,414.97 and 169,203.94

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Solution

The third proportional to 82,414.97 and 169,203.94 is: 347,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,414.97 : 169,203.94 = 169,203.94 : x
  2. Step 2: Convert to fraction form
    82,414.97/169,203.94 = 169,203.94/x
  3. Step 3: Cross multiply
    82,414.97x = 169,203.94 × 169,203.94
  4. Step 4: Simplify right side
    82,414.97x = 28,629,972,465.50
  5. Step 5: Solve for x
    x = 28,629,972,465.50/82,414.97
  6. Step 6: Final answer
    x = 347,388.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.