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Finding the Third Proportional to 206,600 and 290,928

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Solution

The third proportional to 206,600 and 290,928 is: 409,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,600 : 290,928 = 290,928 : x
  2. Step 2: Convert to fraction form
    206,600/290,928 = 290,928/x
  3. Step 3: Cross multiply
    206,600x = 290,928 × 290,928
  4. Step 4: Simplify right side
    206,600x = 84,639,101,184
  5. Step 5: Solve for x
    x = 84,639,101,184/206,600
  6. Step 6: Final answer
    x = 409,676.19

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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.