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Finding the Third Proportional to 150,172 and 266,956

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Solution

The third proportional to 150,172 and 266,956 is: 474,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,172 : 266,956 = 266,956 : x
  2. Step 2: Convert to fraction form
    150,172/266,956 = 266,956/x
  3. Step 3: Cross multiply
    150,172x = 266,956 × 266,956
  4. Step 4: Simplify right side
    150,172x = 71,265,505,936
  5. Step 5: Solve for x
    x = 71,265,505,936/150,172
  6. Step 6: Final answer
    x = 474,559.21

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.