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Finding the Third Proportional to 196,654.50 and 298,606.50

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Solution

The third proportional to 196,654.50 and 298,606.50 is: 453,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,654.50 : 298,606.50 = 298,606.50 : x
  2. Step 2: Convert to fraction form
    196,654.50/298,606.50 = 298,606.50/x
  3. Step 3: Cross multiply
    196,654.50x = 298,606.50 × 298,606.50
  4. Step 4: Simplify right side
    196,654.50x = 89,165,841,842.25
  5. Step 5: Solve for x
    x = 89,165,841,842.25/196,654.50
  6. Step 6: Final answer
    x = 453,413.69

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