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Finding the Third Proportional to 232.44 and 353.19

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Solution

The third proportional to 232.44 and 353.19 is: 536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.44 : 353.19 = 353.19 : x
  2. Step 2: Convert to fraction form
    232.44/353.19 = 353.19/x
  3. Step 3: Cross multiply
    232.44x = 353.19 × 353.19
  4. Step 4: Simplify right side
    232.44x = 124,741.41
  5. Step 5: Solve for x
    x = 124,741.41/232.44
  6. Step 6: Final answer
    x = 536.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.