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Finding the Third Proportional to 166,589 and 237,422

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Solution

The third proportional to 166,589 and 237,422 is: 338,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,589 : 237,422 = 237,422 : x
  2. Step 2: Convert to fraction form
    166,589/237,422 = 237,422/x
  3. Step 3: Cross multiply
    166,589x = 237,422 × 237,422
  4. Step 4: Simplify right side
    166,589x = 56,369,206,084
  5. Step 5: Solve for x
    x = 56,369,206,084/166,589
  6. Step 6: Final answer
    x = 338,372.92

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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.