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Finding the Third Proportional to 371.25 and 581.34

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Solution

The third proportional to 371.25 and 581.34 is: 910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.25 : 581.34 = 581.34 : x
  2. Step 2: Convert to fraction form
    371.25/581.34 = 581.34/x
  3. Step 3: Cross multiply
    371.25x = 581.34 × 581.34
  4. Step 4: Simplify right side
    371.25x = 337,960.56
  5. Step 5: Solve for x
    x = 337,960.56/371.25
  6. Step 6: Final answer
    x = 910.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.