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Finding the Third Proportional to 71,226 and 166,398

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Solution

The third proportional to 71,226 and 166,398 is: 388,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,226 : 166,398 = 166,398 : x
  2. Step 2: Convert to fraction form
    71,226/166,398 = 166,398/x
  3. Step 3: Cross multiply
    71,226x = 166,398 × 166,398
  4. Step 4: Simplify right side
    71,226x = 27,688,294,404
  5. Step 5: Solve for x
    x = 27,688,294,404/71,226
  6. Step 6: Final answer
    x = 388,738.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.