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Finding the Third Proportional to 196,686 and 298,001

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Solution

The third proportional to 196,686 and 298,001 is: 451,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,686 : 298,001 = 298,001 : x
  2. Step 2: Convert to fraction form
    196,686/298,001 = 298,001/x
  3. Step 3: Cross multiply
    196,686x = 298,001 × 298,001
  4. Step 4: Simplify right side
    196,686x = 88,804,596,001
  5. Step 5: Solve for x
    x = 88,804,596,001/196,686
  6. Step 6: Final answer
    x = 451,504.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.