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Finding the Third Proportional to 196,888 and 295,268

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Solution

The third proportional to 196,888 and 295,268 is: 442,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,888 : 295,268 = 295,268 : x
  2. Step 2: Convert to fraction form
    196,888/295,268 = 295,268/x
  3. Step 3: Cross multiply
    196,888x = 295,268 × 295,268
  4. Step 4: Simplify right side
    196,888x = 87,183,191,824
  5. Step 5: Solve for x
    x = 87,183,191,824/196,888
  6. Step 6: Final answer
    x = 442,806.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.