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Finding the Third Proportional to 131,956 and 284,323

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Solution

The third proportional to 131,956 and 284,323 is: 612,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,956 : 284,323 = 284,323 : x
  2. Step 2: Convert to fraction form
    131,956/284,323 = 284,323/x
  3. Step 3: Cross multiply
    131,956x = 284,323 × 284,323
  4. Step 4: Simplify right side
    131,956x = 80,839,568,329
  5. Step 5: Solve for x
    x = 80,839,568,329/131,956
  6. Step 6: Final answer
    x = 612,625.18

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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.