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Finding the Third Proportional to 82,325 and 180,688

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Solution

The third proportional to 82,325 and 180,688 is: 396,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,325 : 180,688 = 180,688 : x
  2. Step 2: Convert to fraction form
    82,325/180,688 = 180,688/x
  3. Step 3: Cross multiply
    82,325x = 180,688 × 180,688
  4. Step 4: Simplify right side
    82,325x = 32,648,153,344
  5. Step 5: Solve for x
    x = 32,648,153,344/82,325
  6. Step 6: Final answer
    x = 396,576.41

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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.