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Finding the Third Proportional to 192,042 and 256,950

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Solution

The third proportional to 192,042 and 256,950 is: 343,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,042 : 256,950 = 256,950 : x
  2. Step 2: Convert to fraction form
    192,042/256,950 = 256,950/x
  3. Step 3: Cross multiply
    192,042x = 256,950 × 256,950
  4. Step 4: Simplify right side
    192,042x = 66,023,302,500
  5. Step 5: Solve for x
    x = 66,023,302,500/192,042
  6. Step 6: Final answer
    x = 343,796.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.