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Finding the Third Proportional to 146,838 and 211,992

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Solution

The third proportional to 146,838 and 211,992 is: 306,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,838 : 211,992 = 211,992 : x
  2. Step 2: Convert to fraction form
    146,838/211,992 = 211,992/x
  3. Step 3: Cross multiply
    146,838x = 211,992 × 211,992
  4. Step 4: Simplify right side
    146,838x = 44,940,608,064
  5. Step 5: Solve for x
    x = 44,940,608,064/146,838
  6. Step 6: Final answer
    x = 306,055.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.