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Finding the Third Proportional to 192,861 and 281,751.75

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Solution

The third proportional to 192,861 and 281,751.75 is: 411,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,861 : 281,751.75 = 281,751.75 : x
  2. Step 2: Convert to fraction form
    192,861/281,751.75 = 281,751.75/x
  3. Step 3: Cross multiply
    192,861x = 281,751.75 × 281,751.75
  4. Step 4: Simplify right side
    192,861x = 79,384,048,628.06
  5. Step 5: Solve for x
    x = 79,384,048,628.06/192,861
  6. Step 6: Final answer
    x = 411,612.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.