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Finding the Third Proportional to 192,074.06 and 281,881.69

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Solution

The third proportional to 192,074.06 and 281,881.69 is: 413,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,074.06 : 281,881.69 = 281,881.69 : x
  2. Step 2: Convert to fraction form
    192,074.06/281,881.69 = 281,881.69/x
  3. Step 3: Cross multiply
    192,074.06x = 281,881.69 × 281,881.69
  4. Step 4: Simplify right side
    192,074.06x = 79,457,285,747.85
  5. Step 5: Solve for x
    x = 79,457,285,747.85/192,074.06
  6. Step 6: Final answer
    x = 413,680.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.