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Finding the Third Proportional to 150,999.75 and 325,644.75

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Solution

The third proportional to 150,999.75 and 325,644.75 is: 702,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,999.75 : 325,644.75 = 325,644.75 : x
  2. Step 2: Convert to fraction form
    150,999.75/325,644.75 = 325,644.75/x
  3. Step 3: Cross multiply
    150,999.75x = 325,644.75 × 325,644.75
  4. Step 4: Simplify right side
    150,999.75x = 106,044,503,202.56
  5. Step 5: Solve for x
    x = 106,044,503,202.56/150,999.75
  6. Step 6: Final answer
    x = 702,282.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.