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Finding the Third Proportional to 335.06 and 496.03

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Solution

The third proportional to 335.06 and 496.03 is: 734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.06 : 496.03 = 496.03 : x
  2. Step 2: Convert to fraction form
    335.06/496.03 = 496.03/x
  3. Step 3: Cross multiply
    335.06x = 496.03 × 496.03
  4. Step 4: Simplify right side
    335.06x = 246,047.00
  5. Step 5: Solve for x
    x = 246,047.00/335.06
  6. Step 6: Final answer
    x = 734.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.