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Finding the Third Proportional to 150,442.31 and 307,801.27

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Solution

The third proportional to 150,442.31 and 307,801.27 is: 629,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,442.31 : 307,801.27 = 307,801.27 : x
  2. Step 2: Convert to fraction form
    150,442.31/307,801.27 = 307,801.27/x
  3. Step 3: Cross multiply
    150,442.31x = 307,801.27 × 307,801.27
  4. Step 4: Simplify right side
    150,442.31x = 94,741,619,120.35
  5. Step 5: Solve for x
    x = 94,741,619,120.35/150,442.31
  6. Step 6: Final answer
    x = 629,753.81

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.