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Finding the Third Proportional to 189,888 and 405,192

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Solution

The third proportional to 189,888 and 405,192 is: 864,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,888 : 405,192 = 405,192 : x
  2. Step 2: Convert to fraction form
    189,888/405,192 = 405,192/x
  3. Step 3: Cross multiply
    189,888x = 405,192 × 405,192
  4. Step 4: Simplify right side
    189,888x = 164,180,556,864
  5. Step 5: Solve for x
    x = 164,180,556,864/189,888
  6. Step 6: Final answer
    x = 864,617.86

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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.