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Finding the Third Proportional to 82,340 and 167,596

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Solution

The third proportional to 82,340 and 167,596 is: 341,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,340 : 167,596 = 167,596 : x
  2. Step 2: Convert to fraction form
    82,340/167,596 = 167,596/x
  3. Step 3: Cross multiply
    82,340x = 167,596 × 167,596
  4. Step 4: Simplify right side
    82,340x = 28,088,419,216
  5. Step 5: Solve for x
    x = 28,088,419,216/82,340
  6. Step 6: Final answer
    x = 341,127.27

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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.