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Finding the Third Proportional to 206,429.63 and 290,690.44

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Solution

The third proportional to 206,429.63 and 290,690.44 is: 409,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,429.63 : 290,690.44 = 290,690.44 : x
  2. Step 2: Convert to fraction form
    206,429.63/290,690.44 = 290,690.44/x
  3. Step 3: Cross multiply
    206,429.63x = 290,690.44 × 290,690.44
  4. Step 4: Simplify right side
    206,429.63x = 84,500,930,453.94
  5. Step 5: Solve for x
    x = 84,500,930,453.94/206,429.63
  6. Step 6: Final answer
    x = 409,344.98

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.