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Finding the Third Proportional to 196,224 and 301,991

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Solution

The third proportional to 196,224 and 301,991 is: 464,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,224 : 301,991 = 301,991 : x
  2. Step 2: Convert to fraction form
    196,224/301,991 = 301,991/x
  3. Step 3: Cross multiply
    196,224x = 301,991 × 301,991
  4. Step 4: Simplify right side
    196,224x = 91,198,564,081
  5. Step 5: Solve for x
    x = 91,198,564,081/196,224
  6. Step 6: Final answer
    x = 464,767.63

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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.