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Finding the Third Proportional to 208,891.50 and 318,233.25

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Solution

The third proportional to 208,891.50 and 318,233.25 is: 484,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,891.50 : 318,233.25 = 318,233.25 : x
  2. Step 2: Convert to fraction form
    208,891.50/318,233.25 = 318,233.25/x
  3. Step 3: Cross multiply
    208,891.50x = 318,233.25 × 318,233.25
  4. Step 4: Simplify right side
    208,891.50x = 101,272,401,405.56
  5. Step 5: Solve for x
    x = 101,272,401,405.56/208,891.50
  6. Step 6: Final answer
    x = 484,808.63

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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.