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Finding the Third Proportional to 150,723.19 and 331,807.31

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Solution

The third proportional to 150,723.19 and 331,807.31 is: 730,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,723.19 : 331,807.31 = 331,807.31 : x
  2. Step 2: Convert to fraction form
    150,723.19/331,807.31 = 331,807.31/x
  3. Step 3: Cross multiply
    150,723.19x = 331,807.31 × 331,807.31
  4. Step 4: Simplify right side
    150,723.19x = 110,096,092,628.47
  5. Step 5: Solve for x
    x = 110,096,092,628.47/150,723.19
  6. Step 6: Final answer
    x = 730,452.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.