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Finding the Third Proportional to 166,189 and 362,447

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Solution

The third proportional to 166,189 and 362,447 is: 790,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,189 : 362,447 = 362,447 : x
  2. Step 2: Convert to fraction form
    166,189/362,447 = 362,447/x
  3. Step 3: Cross multiply
    166,189x = 362,447 × 362,447
  4. Step 4: Simplify right side
    166,189x = 131,367,827,809
  5. Step 5: Solve for x
    x = 131,367,827,809/166,189
  6. Step 6: Final answer
    x = 790,472.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.