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Finding the Third Proportional to 155,644 and 231,198

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Solution

The third proportional to 155,644 and 231,198 is: 343,428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,644 : 231,198 = 231,198 : x
  2. Step 2: Convert to fraction form
    155,644/231,198 = 231,198/x
  3. Step 3: Cross multiply
    155,644x = 231,198 × 231,198
  4. Step 4: Simplify right side
    155,644x = 53,452,515,204
  5. Step 5: Solve for x
    x = 53,452,515,204/155,644
  6. Step 6: Final answer
    x = 343,428.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.