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Finding the Third Proportional to 227,569.50 and 327,791.81

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Solution

The third proportional to 227,569.50 and 327,791.81 is: 472,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,569.50 : 327,791.81 = 327,791.81 : x
  2. Step 2: Convert to fraction form
    227,569.50/327,791.81 = 327,791.81/x
  3. Step 3: Cross multiply
    227,569.50x = 327,791.81 × 327,791.81
  4. Step 4: Simplify right side
    227,569.50x = 107,447,472,342.04
  5. Step 5: Solve for x
    x = 107,447,472,342.04/227,569.50
  6. Step 6: Final answer
    x = 472,152.34

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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.