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Finding the Third Proportional to 237,832 and 368,337

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Solution

The third proportional to 237,832 and 368,337 is: 570,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,832 : 368,337 = 368,337 : x
  2. Step 2: Convert to fraction form
    237,832/368,337 = 368,337/x
  3. Step 3: Cross multiply
    237,832x = 368,337 × 368,337
  4. Step 4: Simplify right side
    237,832x = 135,672,145,569
  5. Step 5: Solve for x
    x = 135,672,145,569/237,832
  6. Step 6: Final answer
    x = 570,453.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.