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Finding the Third Proportional to 166,638 and 237,485

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Solution

The third proportional to 166,638 and 237,485 is: 338,452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,638 : 237,485 = 237,485 : x
  2. Step 2: Convert to fraction form
    166,638/237,485 = 237,485/x
  3. Step 3: Cross multiply
    166,638x = 237,485 × 237,485
  4. Step 4: Simplify right side
    166,638x = 56,399,125,225
  5. Step 5: Solve for x
    x = 56,399,125,225/166,638
  6. Step 6: Final answer
    x = 338,452.97

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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.