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Finding the Third Proportional to 204,333 and 318,919.50

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Solution

The third proportional to 204,333 and 318,919.50 is: 497,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,333 : 318,919.50 = 318,919.50 : x
  2. Step 2: Convert to fraction form
    204,333/318,919.50 = 318,919.50/x
  3. Step 3: Cross multiply
    204,333x = 318,919.50 × 318,919.50
  4. Step 4: Simplify right side
    204,333x = 101,709,647,480.25
  5. Step 5: Solve for x
    x = 101,709,647,480.25/204,333
  6. Step 6: Final answer
    x = 497,764.18

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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.