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Finding the Third Proportional to 208,112.63 and 281,994.75

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Solution

The third proportional to 208,112.63 and 281,994.75 is: 382,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,112.63 : 281,994.75 = 281,994.75 : x
  2. Step 2: Convert to fraction form
    208,112.63/281,994.75 = 281,994.75/x
  3. Step 3: Cross multiply
    208,112.63x = 281,994.75 × 281,994.75
  4. Step 4: Simplify right side
    208,112.63x = 79,521,039,027.56
  5. Step 5: Solve for x
    x = 79,521,039,027.56/208,112.63
  6. Step 6: Final answer
    x = 382,105.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.