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Finding the Third Proportional to 155,936 and 237,183

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Solution

The third proportional to 155,936 and 237,183 is: 360,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,936 : 237,183 = 237,183 : x
  2. Step 2: Convert to fraction form
    155,936/237,183 = 237,183/x
  3. Step 3: Cross multiply
    155,936x = 237,183 × 237,183
  4. Step 4: Simplify right side
    155,936x = 56,255,775,489
  5. Step 5: Solve for x
    x = 56,255,775,489/155,936
  6. Step 6: Final answer
    x = 360,761.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.