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Finding the Third Proportional to 189,182 and 282,131

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Solution

The third proportional to 189,182 and 282,131 is: 420,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,182 : 282,131 = 282,131 : x
  2. Step 2: Convert to fraction form
    189,182/282,131 = 282,131/x
  3. Step 3: Cross multiply
    189,182x = 282,131 × 282,131
  4. Step 4: Simplify right side
    189,182x = 79,597,901,161
  5. Step 5: Solve for x
    x = 79,597,901,161/189,182
  6. Step 6: Final answer
    x = 420,747.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.