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Finding the Third Proportional to 189,936 and 405,296

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Solution

The third proportional to 189,936 and 405,296 is: 864,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,936 : 405,296 = 405,296 : x
  2. Step 2: Convert to fraction form
    189,936/405,296 = 405,296/x
  3. Step 3: Cross multiply
    189,936x = 405,296 × 405,296
  4. Step 4: Simplify right side
    189,936x = 164,264,847,616
  5. Step 5: Solve for x
    x = 164,264,847,616/189,936
  6. Step 6: Final answer
    x = 864,843.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.