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Finding the Third Proportional to 228,222.56 and 350,033.91

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Solution

The third proportional to 228,222.56 and 350,033.91 is: 536,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,222.56 : 350,033.91 = 350,033.91 : x
  2. Step 2: Convert to fraction form
    228,222.56/350,033.91 = 350,033.91/x
  3. Step 3: Cross multiply
    228,222.56x = 350,033.91 × 350,033.91
  4. Step 4: Simplify right side
    228,222.56x = 122,523,735,524.63
  5. Step 5: Solve for x
    x = 122,523,735,524.63/228,222.56
  6. Step 6: Final answer
    x = 536,860.75

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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.