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Finding the Third Proportional to 82,188 and 177,471

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Solution

The third proportional to 82,188 and 177,471 is: 383,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,188 : 177,471 = 177,471 : x
  2. Step 2: Convert to fraction form
    82,188/177,471 = 177,471/x
  3. Step 3: Cross multiply
    82,188x = 177,471 × 177,471
  4. Step 4: Simplify right side
    82,188x = 31,495,955,841
  5. Step 5: Solve for x
    x = 31,495,955,841/82,188
  6. Step 6: Final answer
    x = 383,218.42

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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.