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Finding the Third Proportional to 76,398 and 167,856

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Solution

The third proportional to 76,398 and 167,856 is: 368,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,398 : 167,856 = 167,856 : x
  2. Step 2: Convert to fraction form
    76,398/167,856 = 167,856/x
  3. Step 3: Cross multiply
    76,398x = 167,856 × 167,856
  4. Step 4: Simplify right side
    76,398x = 28,175,636,736
  5. Step 5: Solve for x
    x = 28,175,636,736/76,398
  6. Step 6: Final answer
    x = 368,800.71

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