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Finding the Third Proportional to 206,412.19 and 290,673.56

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Solution

The third proportional to 206,412.19 and 290,673.56 is: 409,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.19 : 290,673.56 = 290,673.56 : x
  2. Step 2: Convert to fraction form
    206,412.19/290,673.56 = 290,673.56/x
  3. Step 3: Cross multiply
    206,412.19x = 290,673.56 × 290,673.56
  4. Step 4: Simplify right side
    206,412.19x = 84,491,119,936.44
  5. Step 5: Solve for x
    x = 84,491,119,936.44/206,412.19
  6. Step 6: Final answer
    x = 409,332.03

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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.