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Finding the Third Proportional to 208,923 and 318,282

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Solution

The third proportional to 208,923 and 318,282 is: 484,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,923 : 318,282 = 318,282 : x
  2. Step 2: Convert to fraction form
    208,923/318,282 = 318,282/x
  3. Step 3: Cross multiply
    208,923x = 318,282 × 318,282
  4. Step 4: Simplify right side
    208,923x = 101,303,431,524
  5. Step 5: Solve for x
    x = 101,303,431,524/208,923
  6. Step 6: Final answer
    x = 484,884.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.