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Finding the Third Proportional to 188,682 and 282,995

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Solution

The third proportional to 188,682 and 282,995 is: 424,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,682 : 282,995 = 282,995 : x
  2. Step 2: Convert to fraction form
    188,682/282,995 = 282,995/x
  3. Step 3: Cross multiply
    188,682x = 282,995 × 282,995
  4. Step 4: Simplify right side
    188,682x = 80,086,170,025
  5. Step 5: Solve for x
    x = 80,086,170,025/188,682
  6. Step 6: Final answer
    x = 424,450.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.