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Finding the Third Proportional to 180,048 and 388,008

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Solution

The third proportional to 180,048 and 388,008 is: 836,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,048 : 388,008 = 388,008 : x
  2. Step 2: Convert to fraction form
    180,048/388,008 = 388,008/x
  3. Step 3: Cross multiply
    180,048x = 388,008 × 388,008
  4. Step 4: Simplify right side
    180,048x = 150,550,208,064
  5. Step 5: Solve for x
    x = 150,550,208,064/180,048
  6. Step 6: Final answer
    x = 836,167.07

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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.