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Finding the Third Proportional to 131,704.88 and 284,469.75

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Solution

The third proportional to 131,704.88 and 284,469.75 is: 614,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,704.88 : 284,469.75 = 284,469.75 : x
  2. Step 2: Convert to fraction form
    131,704.88/284,469.75 = 284,469.75/x
  3. Step 3: Cross multiply
    131,704.88x = 284,469.75 × 284,469.75
  4. Step 4: Simplify right side
    131,704.88x = 80,923,038,665.06
  5. Step 5: Solve for x
    x = 80,923,038,665.06/131,704.88
  6. Step 6: Final answer
    x = 614,427.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.