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Finding the Third Proportional to 227,650.50 and 327,938.63

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Solution

The third proportional to 227,650.50 and 327,938.63 is: 472,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,650.50 : 327,938.63 = 327,938.63 : x
  2. Step 2: Convert to fraction form
    227,650.50/327,938.63 = 327,938.63/x
  3. Step 3: Cross multiply
    227,650.50x = 327,938.63 × 327,938.63
  4. Step 4: Simplify right side
    227,650.50x = 107,543,741,766.89
  5. Step 5: Solve for x
    x = 107,543,741,766.89/227,650.50
  6. Step 6: Final answer
    x = 472,407.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.