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Finding the Third Proportional to 220,923 and 350,383.50

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Solution

The third proportional to 220,923 and 350,383.50 is: 555,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,923 : 350,383.50 = 350,383.50 : x
  2. Step 2: Convert to fraction form
    220,923/350,383.50 = 350,383.50/x
  3. Step 3: Cross multiply
    220,923x = 350,383.50 × 350,383.50
  4. Step 4: Simplify right side
    220,923x = 122,768,597,072.25
  5. Step 5: Solve for x
    x = 122,768,597,072.25/220,923
  6. Step 6: Final answer
    x = 555,707.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.