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Finding the Third Proportional to 205,991.44 and 318,319.88

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Solution

The third proportional to 205,991.44 and 318,319.88 is: 491,901.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,991.44 : 318,319.88 = 318,319.88 : x
  2. Step 2: Convert to fraction form
    205,991.44/318,319.88 = 318,319.88/x
  3. Step 3: Cross multiply
    205,991.44x = 318,319.88 × 318,319.88
  4. Step 4: Simplify right side
    205,991.44x = 101,327,542,820.02
  5. Step 5: Solve for x
    x = 101,327,542,820.02/205,991.44
  6. Step 6: Final answer
    x = 491,901.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.