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Finding the Third Proportional to 138,676.50 and 198,171

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Solution

The third proportional to 138,676.50 and 198,171 is: 283,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,676.50 : 198,171 = 198,171 : x
  2. Step 2: Convert to fraction form
    138,676.50/198,171 = 198,171/x
  3. Step 3: Cross multiply
    138,676.50x = 198,171 × 198,171
  4. Step 4: Simplify right side
    138,676.50x = 39,271,745,241
  5. Step 5: Solve for x
    x = 39,271,745,241/138,676.50
  6. Step 6: Final answer
    x = 283,189.62

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.