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Finding the Third Proportional to 131,704.31 and 279,809.44

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Solution

The third proportional to 131,704.31 and 279,809.44 is: 594,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,704.31 : 279,809.44 = 279,809.44 : x
  2. Step 2: Convert to fraction form
    131,704.31/279,809.44 = 279,809.44/x
  3. Step 3: Cross multiply
    131,704.31x = 279,809.44 × 279,809.44
  4. Step 4: Simplify right side
    131,704.31x = 78,293,321,314.07
  5. Step 5: Solve for x
    x = 78,293,321,314.07/131,704.31
  6. Step 6: Final answer
    x = 594,462.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.