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Finding the Third Proportional to 234.50 and 350.84

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Solution

The third proportional to 234.50 and 350.84 is: 524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.50 : 350.84 = 350.84 : x
  2. Step 2: Convert to fraction form
    234.50/350.84 = 350.84/x
  3. Step 3: Cross multiply
    234.50x = 350.84 × 350.84
  4. Step 4: Simplify right side
    234.50x = 123,091.34
  5. Step 5: Solve for x
    x = 123,091.34/234.50
  6. Step 6: Final answer
    x = 524.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.