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Finding the Third Proportional to 161,895 and 347,577

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Solution

The third proportional to 161,895 and 347,577 is: 746,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,895 : 347,577 = 347,577 : x
  2. Step 2: Convert to fraction form
    161,895/347,577 = 347,577/x
  3. Step 3: Cross multiply
    161,895x = 347,577 × 347,577
  4. Step 4: Simplify right side
    161,895x = 120,809,770,929
  5. Step 5: Solve for x
    x = 120,809,770,929/161,895
  6. Step 6: Final answer
    x = 746,222.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.