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Finding the Third Proportional to 227,905.31 and 331,863.75

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Solution

The third proportional to 227,905.31 and 331,863.75 is: 483,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,905.31 : 331,863.75 = 331,863.75 : x
  2. Step 2: Convert to fraction form
    227,905.31/331,863.75 = 331,863.75/x
  3. Step 3: Cross multiply
    227,905.31x = 331,863.75 × 331,863.75
  4. Step 4: Simplify right side
    227,905.31x = 110,133,548,564.06
  5. Step 5: Solve for x
    x = 110,133,548,564.06/227,905.31
  6. Step 6: Final answer
    x = 483,242.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.