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Finding the Third Proportional to 337.50 and 737.48

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Solution

The third proportional to 337.50 and 737.48 is: 1,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.50 : 737.48 = 737.48 : x
  2. Step 2: Convert to fraction form
    337.50/737.48 = 737.48/x
  3. Step 3: Cross multiply
    337.50x = 737.48 × 737.48
  4. Step 4: Simplify right side
    337.50x = 543,883.20
  5. Step 5: Solve for x
    x = 543,883.20/337.50
  6. Step 6: Final answer
    x = 1,611.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.