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Finding the Third Proportional to 150,966 and 211,595

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Solution

The third proportional to 150,966 and 211,595 is: 296,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,966 : 211,595 = 211,595 : x
  2. Step 2: Convert to fraction form
    150,966/211,595 = 211,595/x
  3. Step 3: Cross multiply
    150,966x = 211,595 × 211,595
  4. Step 4: Simplify right side
    150,966x = 44,772,444,025
  5. Step 5: Solve for x
    x = 44,772,444,025/150,966
  6. Step 6: Final answer
    x = 296,573.03

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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.