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Finding the Third Proportional to 82,832 and 177,328

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Solution

The third proportional to 82,832 and 177,328 is: 379,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,832 : 177,328 = 177,328 : x
  2. Step 2: Convert to fraction form
    82,832/177,328 = 177,328/x
  3. Step 3: Cross multiply
    82,832x = 177,328 × 177,328
  4. Step 4: Simplify right side
    82,832x = 31,445,219,584
  5. Step 5: Solve for x
    x = 31,445,219,584/82,832
  6. Step 6: Final answer
    x = 379,626.47

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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.