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Finding the Third Proportional to 189,996 and 351,961

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Solution

The third proportional to 189,996 and 351,961 is: 651,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,996 : 351,961 = 351,961 : x
  2. Step 2: Convert to fraction form
    189,996/351,961 = 351,961/x
  3. Step 3: Cross multiply
    189,996x = 351,961 × 351,961
  4. Step 4: Simplify right side
    189,996x = 123,876,545,521
  5. Step 5: Solve for x
    x = 123,876,545,521/189,996
  6. Step 6: Final answer
    x = 651,995.54

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.