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Finding the Third Proportional to 131,999.63 and 284,522.63

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Solution

The third proportional to 131,999.63 and 284,522.63 is: 613,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,999.63 : 284,522.63 = 284,522.63 : x
  2. Step 2: Convert to fraction form
    131,999.63/284,522.63 = 284,522.63/x
  3. Step 3: Cross multiply
    131,999.63x = 284,522.63 × 284,522.63
  4. Step 4: Simplify right side
    131,999.63x = 80,953,124,136.89
  5. Step 5: Solve for x
    x = 80,953,124,136.89/131,999.63
  6. Step 6: Final answer
    x = 613,282.99

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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.