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Finding the Third Proportional to 166,203 and 362,467

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Solution

The third proportional to 166,203 and 362,467 is: 790,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,203 : 362,467 = 362,467 : x
  2. Step 2: Convert to fraction form
    166,203/362,467 = 362,467/x
  3. Step 3: Cross multiply
    166,203x = 362,467 × 362,467
  4. Step 4: Simplify right side
    166,203x = 131,382,326,089
  5. Step 5: Solve for x
    x = 131,382,326,089/166,203
  6. Step 6: Final answer
    x = 790,493.11

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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.