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Finding the Third Proportional to 227,427.75 and 353,135.25

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Solution

The third proportional to 227,427.75 and 353,135.25 is: 548,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,427.75 : 353,135.25 = 353,135.25 : x
  2. Step 2: Convert to fraction form
    227,427.75/353,135.25 = 353,135.25/x
  3. Step 3: Cross multiply
    227,427.75x = 353,135.25 × 353,135.25
  4. Step 4: Simplify right side
    227,427.75x = 124,704,504,792.56
  5. Step 5: Solve for x
    x = 124,704,504,792.56/227,427.75
  6. Step 6: Final answer
    x = 548,325.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.