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Finding the Third Proportional to 150,066 and 211,059

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Solution

The third proportional to 150,066 and 211,059 is: 296,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,066 : 211,059 = 211,059 : x
  2. Step 2: Convert to fraction form
    150,066/211,059 = 211,059/x
  3. Step 3: Cross multiply
    150,066x = 211,059 × 211,059
  4. Step 4: Simplify right side
    150,066x = 44,545,901,481
  5. Step 5: Solve for x
    x = 44,545,901,481/150,066
  6. Step 6: Final answer
    x = 296,842.07

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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.