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Finding the Third Proportional to 204,372.63 and 318,974.44

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Solution

The third proportional to 204,372.63 and 318,974.44 is: 497,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,372.63 : 318,974.44 = 318,974.44 : x
  2. Step 2: Convert to fraction form
    204,372.63/318,974.44 = 318,974.44/x
  3. Step 3: Cross multiply
    204,372.63x = 318,974.44 × 318,974.44
  4. Step 4: Simplify right side
    204,372.63x = 101,744,691,778.44
  5. Step 5: Solve for x
    x = 101,744,691,778.44/204,372.63
  6. Step 6: Final answer
    x = 497,839.14

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.