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Finding the Third Proportional to 131,777 and 283,567

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Solution

The third proportional to 131,777 and 283,567 is: 610,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,777 : 283,567 = 283,567 : x
  2. Step 2: Convert to fraction form
    131,777/283,567 = 283,567/x
  3. Step 3: Cross multiply
    131,777x = 283,567 × 283,567
  4. Step 4: Simplify right side
    131,777x = 80,410,243,489
  5. Step 5: Solve for x
    x = 80,410,243,489/131,777
  6. Step 6: Final answer
    x = 610,199.38

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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.