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Finding the Third Proportional to 159,394.50 and 350,227.50

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Solution

The third proportional to 159,394.50 and 350,227.50 is: 769,532.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,394.50 : 350,227.50 = 350,227.50 : x
  2. Step 2: Convert to fraction form
    159,394.50/350,227.50 = 350,227.50/x
  3. Step 3: Cross multiply
    159,394.50x = 350,227.50 × 350,227.50
  4. Step 4: Simplify right side
    159,394.50x = 122,659,301,756.25
  5. Step 5: Solve for x
    x = 122,659,301,756.25/159,394.50
  6. Step 6: Final answer
    x = 769,532.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.