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Finding the Third Proportional to 180,092 and 388,116

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Solution

The third proportional to 180,092 and 388,116 is: 836,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,092 : 388,116 = 388,116 : x
  2. Step 2: Convert to fraction form
    180,092/388,116 = 388,116/x
  3. Step 3: Cross multiply
    180,092x = 388,116 × 388,116
  4. Step 4: Simplify right side
    180,092x = 150,634,029,456
  5. Step 5: Solve for x
    x = 150,634,029,456/180,092
  6. Step 6: Final answer
    x = 836,428.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.