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Finding the Third Proportional to 198,083 and 298,073

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Solution

The third proportional to 198,083 and 298,073 is: 448,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,083 : 298,073 = 298,073 : x
  2. Step 2: Convert to fraction form
    198,083/298,073 = 298,073/x
  3. Step 3: Cross multiply
    198,083x = 298,073 × 298,073
  4. Step 4: Simplify right side
    198,083x = 88,847,513,329
  5. Step 5: Solve for x
    x = 88,847,513,329/198,083
  6. Step 6: Final answer
    x = 448,536.79

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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.