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Finding the Third Proportional to 150,946 and 211,001

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Solution

The third proportional to 150,946 and 211,001 is: 294,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,946 : 211,001 = 211,001 : x
  2. Step 2: Convert to fraction form
    150,946/211,001 = 211,001/x
  3. Step 3: Cross multiply
    150,946x = 211,001 × 211,001
  4. Step 4: Simplify right side
    150,946x = 44,521,422,001
  5. Step 5: Solve for x
    x = 44,521,422,001/150,946
  6. Step 6: Final answer
    x = 294,949.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.