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Finding the Third Proportional to 371.94 and 531.34

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Solution

The third proportional to 371.94 and 531.34 is: 759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.94 : 531.34 = 531.34 : x
  2. Step 2: Convert to fraction form
    371.94/531.34 = 531.34/x
  3. Step 3: Cross multiply
    371.94x = 531.34 × 531.34
  4. Step 4: Simplify right side
    371.94x = 282,326.18
  5. Step 5: Solve for x
    x = 282,326.18/371.94
  6. Step 6: Final answer
    x = 759.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.