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Finding the Third Proportional to 150,599.25 and 242,134.31

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Solution

The third proportional to 150,599.25 and 242,134.31 is: 389,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,599.25 : 242,134.31 = 242,134.31 : x
  2. Step 2: Convert to fraction form
    150,599.25/242,134.31 = 242,134.31/x
  3. Step 3: Cross multiply
    150,599.25x = 242,134.31 × 242,134.31
  4. Step 4: Simplify right side
    150,599.25x = 58,629,025,289.85
  5. Step 5: Solve for x
    x = 58,629,025,289.85/150,599.25
  6. Step 6: Final answer
    x = 389,304.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.