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Finding the Third Proportional to 192,960 and 413,610

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Solution

The third proportional to 192,960 and 413,610 is: 886,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,960 : 413,610 = 413,610 : x
  2. Step 2: Convert to fraction form
    192,960/413,610 = 413,610/x
  3. Step 3: Cross multiply
    192,960x = 413,610 × 413,610
  4. Step 4: Simplify right side
    192,960x = 171,073,232,100
  5. Step 5: Solve for x
    x = 171,073,232,100/192,960
  6. Step 6: Final answer
    x = 886,573.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.