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Finding the Third Proportional to 198,088 and 298,078

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Solution

The third proportional to 198,088 and 298,078 is: 448,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,088 : 298,078 = 298,078 : x
  2. Step 2: Convert to fraction form
    198,088/298,078 = 298,078/x
  3. Step 3: Cross multiply
    198,088x = 298,078 × 298,078
  4. Step 4: Simplify right side
    198,088x = 88,850,494,084
  5. Step 5: Solve for x
    x = 88,850,494,084/198,088
  6. Step 6: Final answer
    x = 448,540.52

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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.