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Finding the Third Proportional to 181,296 and 388,824

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Solution

The third proportional to 181,296 and 388,824 is: 833,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,296 : 388,824 = 388,824 : x
  2. Step 2: Convert to fraction form
    181,296/388,824 = 388,824/x
  3. Step 3: Cross multiply
    181,296x = 388,824 × 388,824
  4. Step 4: Simplify right side
    181,296x = 151,184,102,976
  5. Step 5: Solve for x
    x = 151,184,102,976/181,296
  6. Step 6: Final answer
    x = 833,907.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.