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Finding the Third Proportional to 150,986 and 233,485

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Solution

The third proportional to 150,986 and 233,485 is: 361,061.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,986 : 233,485 = 233,485 : x
  2. Step 2: Convert to fraction form
    150,986/233,485 = 233,485/x
  3. Step 3: Cross multiply
    150,986x = 233,485 × 233,485
  4. Step 4: Simplify right side
    150,986x = 54,515,245,225
  5. Step 5: Solve for x
    x = 54,515,245,225/150,986
  6. Step 6: Final answer
    x = 361,061.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.