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Finding the Third Proportional to 81,944 and 176,344

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Solution

The third proportional to 81,944 and 176,344 is: 379,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,944 : 176,344 = 176,344 : x
  2. Step 2: Convert to fraction form
    81,944/176,344 = 176,344/x
  3. Step 3: Cross multiply
    81,944x = 176,344 × 176,344
  4. Step 4: Simplify right side
    81,944x = 31,097,206,336
  5. Step 5: Solve for x
    x = 31,097,206,336/81,944
  6. Step 6: Final answer
    x = 379,493.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.