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Finding the Third Proportional to 208,914 and 318,267

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Solution

The third proportional to 208,914 and 318,267 is: 484,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,914 : 318,267 = 318,267 : x
  2. Step 2: Convert to fraction form
    208,914/318,267 = 318,267/x
  3. Step 3: Cross multiply
    208,914x = 318,267 × 318,267
  4. Step 4: Simplify right side
    208,914x = 101,293,883,289
  5. Step 5: Solve for x
    x = 101,293,883,289/208,914
  6. Step 6: Final answer
    x = 484,859.24

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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.