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Finding the Third Proportional to 196,219 and 301,983

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Solution

The third proportional to 196,219 and 301,983 is: 464,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,219 : 301,983 = 301,983 : x
  2. Step 2: Convert to fraction form
    196,219/301,983 = 301,983/x
  3. Step 3: Cross multiply
    196,219x = 301,983 × 301,983
  4. Step 4: Simplify right side
    196,219x = 91,193,732,289
  5. Step 5: Solve for x
    x = 91,193,732,289/196,219
  6. Step 6: Final answer
    x = 464,754.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.