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Finding the Third Proportional to 180,576 and 388,902

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Solution

The third proportional to 180,576 and 388,902 is: 837,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,576 : 388,902 = 388,902 : x
  2. Step 2: Convert to fraction form
    180,576/388,902 = 388,902/x
  3. Step 3: Cross multiply
    180,576x = 388,902 × 388,902
  4. Step 4: Simplify right side
    180,576x = 151,244,765,604
  5. Step 5: Solve for x
    x = 151,244,765,604/180,576
  6. Step 6: Final answer
    x = 837,568.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.