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Finding the Third Proportional to 192,936 and 413,559

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Solution

The third proportional to 192,936 and 413,559 is: 886,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,936 : 413,559 = 413,559 : x
  2. Step 2: Convert to fraction form
    192,936/413,559 = 413,559/x
  3. Step 3: Cross multiply
    192,936x = 413,559 × 413,559
  4. Step 4: Simplify right side
    192,936x = 171,031,046,481
  5. Step 5: Solve for x
    x = 171,031,046,481/192,936
  6. Step 6: Final answer
    x = 886,465.18

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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.