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Finding the Third Proportional to 376.50 and 890.81

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Solution

The third proportional to 376.50 and 890.81 is: 2,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.50 : 890.81 = 890.81 : x
  2. Step 2: Convert to fraction form
    376.50/890.81 = 890.81/x
  3. Step 3: Cross multiply
    376.50x = 890.81 × 890.81
  4. Step 4: Simplify right side
    376.50x = 793,546.91
  5. Step 5: Solve for x
    x = 793,546.91/376.50
  6. Step 6: Final answer
    x = 2,107.69

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.