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Finding the Third Proportional to 238,450.50 and 334,212.75

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Solution

The third proportional to 238,450.50 and 334,212.75 is: 468,433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,450.50 : 334,212.75 = 334,212.75 : x
  2. Step 2: Convert to fraction form
    238,450.50/334,212.75 = 334,212.75/x
  3. Step 3: Cross multiply
    238,450.50x = 334,212.75 × 334,212.75
  4. Step 4: Simplify right side
    238,450.50x = 111,698,162,262.56
  5. Step 5: Solve for x
    x = 111,698,162,262.56/238,450.50
  6. Step 6: Final answer
    x = 468,433.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.