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Finding the Third Proportional to 234.26 and 357.60

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Solution

The third proportional to 234.26 and 357.60 is: 545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.26 : 357.60 = 357.60 : x
  2. Step 2: Convert to fraction form
    234.26/357.60 = 357.60/x
  3. Step 3: Cross multiply
    234.26x = 357.60 × 357.60
  4. Step 4: Simplify right side
    234.26x = 127,880.14
  5. Step 5: Solve for x
    x = 127,880.14/234.26
  6. Step 6: Final answer
    x = 545.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.