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Finding the Third Proportional to 82,576 and 180,903

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Solution

The third proportional to 82,576 and 180,903 is: 396,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,576 : 180,903 = 180,903 : x
  2. Step 2: Convert to fraction form
    82,576/180,903 = 180,903/x
  3. Step 3: Cross multiply
    82,576x = 180,903 × 180,903
  4. Step 4: Simplify right side
    82,576x = 32,725,895,409
  5. Step 5: Solve for x
    x = 32,725,895,409/82,576
  6. Step 6: Final answer
    x = 396,312.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.