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Finding the Third Proportional to 192,642 and 255,613

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Solution

The third proportional to 192,642 and 255,613 is: 339,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,642 : 255,613 = 255,613 : x
  2. Step 2: Convert to fraction form
    192,642/255,613 = 255,613/x
  3. Step 3: Cross multiply
    192,642x = 255,613 × 255,613
  4. Step 4: Simplify right side
    192,642x = 65,338,005,769
  5. Step 5: Solve for x
    x = 65,338,005,769/192,642
  6. Step 6: Final answer
    x = 339,168.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.