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Finding the Third Proportional to 150,912 and 211,500

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Solution

The third proportional to 150,912 and 211,500 is: 296,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,912 : 211,500 = 211,500 : x
  2. Step 2: Convert to fraction form
    150,912/211,500 = 211,500/x
  3. Step 3: Cross multiply
    150,912x = 211,500 × 211,500
  4. Step 4: Simplify right side
    150,912x = 44,732,250,000
  5. Step 5: Solve for x
    x = 44,732,250,000/150,912
  6. Step 6: Final answer
    x = 296,412.81

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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.