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Finding the Third Proportional to 82,508 and 178,192

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Solution

The third proportional to 82,508 and 178,192 is: 384,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,508 : 178,192 = 178,192 : x
  2. Step 2: Convert to fraction form
    82,508/178,192 = 178,192/x
  3. Step 3: Cross multiply
    82,508x = 178,192 × 178,192
  4. Step 4: Simplify right side
    82,508x = 31,752,388,864
  5. Step 5: Solve for x
    x = 31,752,388,864/82,508
  6. Step 6: Final answer
    x = 384,840.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.