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Finding the Third Proportional to 193,071 and 298,949

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Solution

The third proportional to 193,071 and 298,949 is: 462,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,071 : 298,949 = 298,949 : x
  2. Step 2: Convert to fraction form
    193,071/298,949 = 298,949/x
  3. Step 3: Cross multiply
    193,071x = 298,949 × 298,949
  4. Step 4: Simplify right side
    193,071x = 89,370,504,601
  5. Step 5: Solve for x
    x = 89,370,504,601/193,071
  6. Step 6: Final answer
    x = 462,889.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.