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Finding the Third Proportional to 150,966 and 325,577

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Solution

The third proportional to 150,966 and 325,577 is: 702,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,966 : 325,577 = 325,577 : x
  2. Step 2: Convert to fraction form
    150,966/325,577 = 325,577/x
  3. Step 3: Cross multiply
    150,966x = 325,577 × 325,577
  4. Step 4: Simplify right side
    150,966x = 106,000,382,929
  5. Step 5: Solve for x
    x = 106,000,382,929/150,966
  6. Step 6: Final answer
    x = 702,147.39

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