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Finding the Third Proportional to 82,608 and 180,576

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Solution

The third proportional to 82,608 and 180,576 is: 394,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,608 : 180,576 = 180,576 : x
  2. Step 2: Convert to fraction form
    82,608/180,576 = 180,576/x
  3. Step 3: Cross multiply
    82,608x = 180,576 × 180,576
  4. Step 4: Simplify right side
    82,608x = 32,607,691,776
  5. Step 5: Solve for x
    x = 32,607,691,776/82,608
  6. Step 6: Final answer
    x = 394,728.01

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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.