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Finding the Third Proportional to 76,384 and 167,812

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Solution

The third proportional to 76,384 and 167,812 is: 368,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,384 : 167,812 = 167,812 : x
  2. Step 2: Convert to fraction form
    76,384/167,812 = 167,812/x
  3. Step 3: Cross multiply
    76,384x = 167,812 × 167,812
  4. Step 4: Simplify right side
    76,384x = 28,160,867,344
  5. Step 5: Solve for x
    x = 28,160,867,344/76,384
  6. Step 6: Final answer
    x = 368,674.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.