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Finding the Third Proportional to 198,056.25 and 298,034.25

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Solution

The third proportional to 198,056.25 and 298,034.25 is: 448,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,056.25 : 298,034.25 = 298,034.25 : x
  2. Step 2: Convert to fraction form
    198,056.25/298,034.25 = 298,034.25/x
  3. Step 3: Cross multiply
    198,056.25x = 298,034.25 × 298,034.25
  4. Step 4: Simplify right side
    198,056.25x = 88,824,414,173.06
  5. Step 5: Solve for x
    x = 88,824,414,173.06/198,056.25
  6. Step 6: Final answer
    x = 448,480.74

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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.