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Finding the Third Proportional to 82,188 and 177,472

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Solution

The third proportional to 82,188 and 177,472 is: 383,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,188 : 177,472 = 177,472 : x
  2. Step 2: Convert to fraction form
    82,188/177,472 = 177,472/x
  3. Step 3: Cross multiply
    82,188x = 177,472 × 177,472
  4. Step 4: Simplify right side
    82,188x = 31,496,310,784
  5. Step 5: Solve for x
    x = 31,496,310,784/82,188
  6. Step 6: Final answer
    x = 383,222.74

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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.