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Finding the Third Proportional to 192,936 and 417,068

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Solution

The third proportional to 192,936 and 417,068 is: 901,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,936 : 417,068 = 417,068 : x
  2. Step 2: Convert to fraction form
    192,936/417,068 = 417,068/x
  3. Step 3: Cross multiply
    192,936x = 417,068 × 417,068
  4. Step 4: Simplify right side
    192,936x = 173,945,716,624
  5. Step 5: Solve for x
    x = 173,945,716,624/192,936
  6. Step 6: Final answer
    x = 901,572.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.