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Finding the Third Proportional to 996.19 and 1,137.94

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Solution

The third proportional to 996.19 and 1,137.94 is: 1,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.19 : 1,137.94 = 1,137.94 : x
  2. Step 2: Convert to fraction form
    996.19/1,137.94 = 1,137.94/x
  3. Step 3: Cross multiply
    996.19x = 1,137.94 × 1,137.94
  4. Step 4: Simplify right side
    996.19x = 1,294,901.75
  5. Step 5: Solve for x
    x = 1,294,901.75/996.19
  6. Step 6: Final answer
    x = 1,299.86

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.