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Finding the Third Proportional to 192,255.75 and 414,096.75

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Solution

The third proportional to 192,255.75 and 414,096.75 is: 891,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,255.75 : 414,096.75 = 414,096.75 : x
  2. Step 2: Convert to fraction form
    192,255.75/414,096.75 = 414,096.75/x
  3. Step 3: Cross multiply
    192,255.75x = 414,096.75 × 414,096.75
  4. Step 4: Simplify right side
    192,255.75x = 171,476,118,360.56
  5. Step 5: Solve for x
    x = 171,476,118,360.56/192,255.75
  6. Step 6: Final answer
    x = 891,916.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.