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Finding the Third Proportional to 187,704 and 283,149

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Solution

The third proportional to 187,704 and 283,149 is: 427,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,704 : 283,149 = 283,149 : x
  2. Step 2: Convert to fraction form
    187,704/283,149 = 283,149/x
  3. Step 3: Cross multiply
    187,704x = 283,149 × 283,149
  4. Step 4: Simplify right side
    187,704x = 80,173,356,201
  5. Step 5: Solve for x
    x = 80,173,356,201/187,704
  6. Step 6: Final answer
    x = 427,126.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.