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Finding the Third Proportional to 227,662.31 and 328,905.56

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Solution

The third proportional to 227,662.31 and 328,905.56 is: 475,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,662.31 : 328,905.56 = 328,905.56 : x
  2. Step 2: Convert to fraction form
    227,662.31/328,905.56 = 328,905.56/x
  3. Step 3: Cross multiply
    227,662.31x = 328,905.56 × 328,905.56
  4. Step 4: Simplify right side
    227,662.31x = 108,178,869,043.44
  5. Step 5: Solve for x
    x = 108,178,869,043.44/227,662.31
  6. Step 6: Final answer
    x = 475,172.49

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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.