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Finding the Third Proportional to 319.50 and 745.31

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Solution

The third proportional to 319.50 and 745.31 is: 1,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.50 : 745.31 = 745.31 : x
  2. Step 2: Convert to fraction form
    319.50/745.31 = 745.31/x
  3. Step 3: Cross multiply
    319.50x = 745.31 × 745.31
  4. Step 4: Simplify right side
    319.50x = 555,490.72
  5. Step 5: Solve for x
    x = 555,490.72/319.50
  6. Step 6: Final answer
    x = 1,738.63

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.