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Finding the Third Proportional to 82,898 and 180,772

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Solution

The third proportional to 82,898 and 180,772 is: 394,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,898 : 180,772 = 180,772 : x
  2. Step 2: Convert to fraction form
    82,898/180,772 = 180,772/x
  3. Step 3: Cross multiply
    82,898x = 180,772 × 180,772
  4. Step 4: Simplify right side
    82,898x = 32,678,515,984
  5. Step 5: Solve for x
    x = 32,678,515,984/82,898
  6. Step 6: Final answer
    x = 394,201.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.