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Finding the Third Proportional to 166,586 and 237,420

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Solution

The third proportional to 166,586 and 237,420 is: 338,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,586 : 237,420 = 237,420 : x
  2. Step 2: Convert to fraction form
    166,586/237,420 = 237,420/x
  3. Step 3: Cross multiply
    166,586x = 237,420 × 237,420
  4. Step 4: Simplify right side
    166,586x = 56,368,256,400
  5. Step 5: Solve for x
    x = 56,368,256,400/166,586
  6. Step 6: Final answer
    x = 338,373.31

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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.