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Finding the Third Proportional to 131,238.75 and 281,064.75

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Solution

The third proportional to 131,238.75 and 281,064.75 is: 601,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,238.75 : 281,064.75 = 281,064.75 : x
  2. Step 2: Convert to fraction form
    131,238.75/281,064.75 = 281,064.75/x
  3. Step 3: Cross multiply
    131,238.75x = 281,064.75 × 281,064.75
  4. Step 4: Simplify right side
    131,238.75x = 78,997,393,692.56
  5. Step 5: Solve for x
    x = 78,997,393,692.56/131,238.75
  6. Step 6: Final answer
    x = 601,936.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.