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Finding the Third Proportional to 197,884.69 and 306,600.19

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Solution

The third proportional to 197,884.69 and 306,600.19 is: 475,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,884.69 : 306,600.19 = 306,600.19 : x
  2. Step 2: Convert to fraction form
    197,884.69/306,600.19 = 306,600.19/x
  3. Step 3: Cross multiply
    197,884.69x = 306,600.19 × 306,600.19
  4. Step 4: Simplify right side
    197,884.69x = 94,003,674,975.04
  5. Step 5: Solve for x
    x = 94,003,674,975.04/197,884.69
  6. Step 6: Final answer
    x = 475,042.69

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