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Finding the Third Proportional to 197,617 and 295,886

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Solution

The third proportional to 197,617 and 295,886 is: 443,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,617 : 295,886 = 295,886 : x
  2. Step 2: Convert to fraction form
    197,617/295,886 = 295,886/x
  3. Step 3: Cross multiply
    197,617x = 295,886 × 295,886
  4. Step 4: Simplify right side
    197,617x = 87,548,524,996
  5. Step 5: Solve for x
    x = 87,548,524,996/197,617
  6. Step 6: Final answer
    x = 443,021.22

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Why These Related Problems?

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