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Finding the Third Proportional to 293.50 and 616

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Solution

The third proportional to 293.50 and 616 is: 1,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.50 : 616 = 616 : x
  2. Step 2: Convert to fraction form
    293.50/616 = 616/x
  3. Step 3: Cross multiply
    293.50x = 616 × 616
  4. Step 4: Simplify right side
    293.50x = 379,456
  5. Step 5: Solve for x
    x = 379,456/293.50
  6. Step 6: Final answer
    x = 1,292.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.