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Finding the Third Proportional to 180,066 and 388,042

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Solution

The third proportional to 180,066 and 388,042 is: 836,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,066 : 388,042 = 388,042 : x
  2. Step 2: Convert to fraction form
    180,066/388,042 = 388,042/x
  3. Step 3: Cross multiply
    180,066x = 388,042 × 388,042
  4. Step 4: Simplify right side
    180,066x = 150,576,593,764
  5. Step 5: Solve for x
    x = 150,576,593,764/180,066
  6. Step 6: Final answer
    x = 836,230.01

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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.