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Finding the Third Proportional to 183,024 and 389,375

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Solution

The third proportional to 183,024 and 389,375 is: 828,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,024 : 389,375 = 389,375 : x
  2. Step 2: Convert to fraction form
    183,024/389,375 = 389,375/x
  3. Step 3: Cross multiply
    183,024x = 389,375 × 389,375
  4. Step 4: Simplify right side
    183,024x = 151,612,890,625
  5. Step 5: Solve for x
    x = 151,612,890,625/183,024
  6. Step 6: Final answer
    x = 828,377.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.