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Finding the Third Proportional to 131,486.25 and 284,000.25

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Solution

The third proportional to 131,486.25 and 284,000.25 is: 613,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,486.25 : 284,000.25 = 284,000.25 : x
  2. Step 2: Convert to fraction form
    131,486.25/284,000.25 = 284,000.25/x
  3. Step 3: Cross multiply
    131,486.25x = 284,000.25 × 284,000.25
  4. Step 4: Simplify right side
    131,486.25x = 80,656,142,000.06
  5. Step 5: Solve for x
    x = 80,656,142,000.06/131,486.25
  6. Step 6: Final answer
    x = 613,418.83

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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.