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Finding the Third Proportional to 198,741 and 295,408.50

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Solution

The third proportional to 198,741 and 295,408.50 is: 439,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,741 : 295,408.50 = 295,408.50 : x
  2. Step 2: Convert to fraction form
    198,741/295,408.50 = 295,408.50/x
  3. Step 3: Cross multiply
    198,741x = 295,408.50 × 295,408.50
  4. Step 4: Simplify right side
    198,741x = 87,266,181,872.25
  5. Step 5: Solve for x
    x = 87,266,181,872.25/198,741
  6. Step 6: Final answer
    x = 439,095.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.