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Finding the Third Proportional to 203,327 and 304,375

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Solution

The third proportional to 203,327 and 304,375 is: 455,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,327 : 304,375 = 304,375 : x
  2. Step 2: Convert to fraction form
    203,327/304,375 = 304,375/x
  3. Step 3: Cross multiply
    203,327x = 304,375 × 304,375
  4. Step 4: Simplify right side
    203,327x = 92,644,140,625
  5. Step 5: Solve for x
    x = 92,644,140,625/203,327
  6. Step 6: Final answer
    x = 455,641.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.