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Finding the Third Proportional to 237,437 and 339,512

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Solution

The third proportional to 237,437 and 339,512 is: 485,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,437 : 339,512 = 339,512 : x
  2. Step 2: Convert to fraction form
    237,437/339,512 = 339,512/x
  3. Step 3: Cross multiply
    237,437x = 339,512 × 339,512
  4. Step 4: Simplify right side
    237,437x = 115,268,398,144
  5. Step 5: Solve for x
    x = 115,268,398,144/237,437
  6. Step 6: Final answer
    x = 485,469.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.