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Finding the Third Proportional to 192,076.50 and 280,731

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Solution

The third proportional to 192,076.50 and 280,731 is: 410,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,076.50 : 280,731 = 280,731 : x
  2. Step 2: Convert to fraction form
    192,076.50/280,731 = 280,731/x
  3. Step 3: Cross multiply
    192,076.50x = 280,731 × 280,731
  4. Step 4: Simplify right side
    192,076.50x = 78,809,894,361
  5. Step 5: Solve for x
    x = 78,809,894,361/192,076.50
  6. Step 6: Final answer
    x = 410,304.72

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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.