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Finding the Third Proportional to 150,014 and 211,013

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Solution

The third proportional to 150,014 and 211,013 is: 296,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,014 : 211,013 = 211,013 : x
  2. Step 2: Convert to fraction form
    150,014/211,013 = 211,013/x
  3. Step 3: Cross multiply
    150,014x = 211,013 × 211,013
  4. Step 4: Simplify right side
    150,014x = 44,526,486,169
  5. Step 5: Solve for x
    x = 44,526,486,169/150,014
  6. Step 6: Final answer
    x = 296,815.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.