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Finding the Third Proportional to 192,960 and 411,408

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Solution

The third proportional to 192,960 and 411,408 is: 877,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,960 : 411,408 = 411,408 : x
  2. Step 2: Convert to fraction form
    192,960/411,408 = 411,408/x
  3. Step 3: Cross multiply
    192,960x = 411,408 × 411,408
  4. Step 4: Simplify right side
    192,960x = 169,256,542,464
  5. Step 5: Solve for x
    x = 169,256,542,464/192,960
  6. Step 6: Final answer
    x = 877,158.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.