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Finding the Third Proportional to 82,500 and 180,456

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Solution

The third proportional to 82,500 and 180,456 is: 394,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,500 : 180,456 = 180,456 : x
  2. Step 2: Convert to fraction form
    82,500/180,456 = 180,456/x
  3. Step 3: Cross multiply
    82,500x = 180,456 × 180,456
  4. Step 4: Simplify right side
    82,500x = 32,564,367,936
  5. Step 5: Solve for x
    x = 32,564,367,936/82,500
  6. Step 6: Final answer
    x = 394,719.61

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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.