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Finding the Third Proportional to 336.66 and 735.96

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Solution

The third proportional to 336.66 and 735.96 is: 1,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.66 : 735.96 = 735.96 : x
  2. Step 2: Convert to fraction form
    336.66/735.96 = 735.96/x
  3. Step 3: Cross multiply
    336.66x = 735.96 × 735.96
  4. Step 4: Simplify right side
    336.66x = 541,638.50
  5. Step 5: Solve for x
    x = 541,638.50/336.66
  6. Step 6: Final answer
    x = 1,608.88

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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.