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Finding the Third Proportional to 209 and 390

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Solution

The third proportional to 209 and 390 is: 727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 390 = 390 : x
  2. Step 2: Convert to fraction form
    209/390 = 390/x
  3. Step 3: Cross multiply
    209x = 390 × 390
  4. Step 4: Simplify right side
    209x = 152,100
  5. Step 5: Solve for x
    x = 152,100/209
  6. Step 6: Final answer
    x = 727.75

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.