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Finding the Third Proportional to 131,519 and 284,057

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Solution

The third proportional to 131,519 and 284,057 is: 613,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,519 : 284,057 = 284,057 : x
  2. Step 2: Convert to fraction form
    131,519/284,057 = 284,057/x
  3. Step 3: Cross multiply
    131,519x = 284,057 × 284,057
  4. Step 4: Simplify right side
    131,519x = 80,688,379,249
  5. Step 5: Solve for x
    x = 80,688,379,249/131,519
  6. Step 6: Final answer
    x = 613,511.20

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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.