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Finding the Third Proportional to 371.98 and 881.17

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Solution

The third proportional to 371.98 and 881.17 is: 2,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.98 : 881.17 = 881.17 : x
  2. Step 2: Convert to fraction form
    371.98/881.17 = 881.17/x
  3. Step 3: Cross multiply
    371.98x = 881.17 × 881.17
  4. Step 4: Simplify right side
    371.98x = 776,463.44
  5. Step 5: Solve for x
    x = 776,463.44/371.98
  6. Step 6: Final answer
    x = 2,087.41

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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.