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Finding the Third Proportional to 735.23 and 1,138.88

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Solution

The third proportional to 735.23 and 1,138.88 is: 1,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.23 : 1,138.88 = 1,138.88 : x
  2. Step 2: Convert to fraction form
    735.23/1,138.88 = 1,138.88/x
  3. Step 3: Cross multiply
    735.23x = 1,138.88 × 1,138.88
  4. Step 4: Simplify right side
    735.23x = 1,297,057.95
  5. Step 5: Solve for x
    x = 1,297,057.95/735.23
  6. Step 6: Final answer
    x = 1,764.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.