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Finding the Third Proportional to 150,171 and 266,955

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Solution

The third proportional to 150,171 and 266,955 is: 474,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,171 : 266,955 = 266,955 : x
  2. Step 2: Convert to fraction form
    150,171/266,955 = 266,955/x
  3. Step 3: Cross multiply
    150,171x = 266,955 × 266,955
  4. Step 4: Simplify right side
    150,171x = 71,264,972,025
  5. Step 5: Solve for x
    x = 71,264,972,025/150,171
  6. Step 6: Final answer
    x = 474,558.82

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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.