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Finding the Third Proportional to 227,147.25 and 350,197.50

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Solution

The third proportional to 227,147.25 and 350,197.50 is: 539,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,147.25 : 350,197.50 = 350,197.50 : x
  2. Step 2: Convert to fraction form
    227,147.25/350,197.50 = 350,197.50/x
  3. Step 3: Cross multiply
    227,147.25x = 350,197.50 × 350,197.50
  4. Step 4: Simplify right side
    227,147.25x = 122,638,289,006.25
  5. Step 5: Solve for x
    x = 122,638,289,006.25/227,147.25
  6. Step 6: Final answer
    x = 539,906.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.