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Finding the Third Proportional to 82,873 and 177,383

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Solution

The third proportional to 82,873 and 177,383 is: 379,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,873 : 177,383 = 177,383 : x
  2. Step 2: Convert to fraction form
    82,873/177,383 = 177,383/x
  3. Step 3: Cross multiply
    82,873x = 177,383 × 177,383
  4. Step 4: Simplify right side
    82,873x = 31,464,728,689
  5. Step 5: Solve for x
    x = 31,464,728,689/82,873
  6. Step 6: Final answer
    x = 379,674.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.