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Finding the Third Proportional to 150,176 and 266,960

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Solution

The third proportional to 150,176 and 266,960 is: 474,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,176 : 266,960 = 266,960 : x
  2. Step 2: Convert to fraction form
    150,176/266,960 = 266,960/x
  3. Step 3: Cross multiply
    150,176x = 266,960 × 266,960
  4. Step 4: Simplify right side
    150,176x = 71,267,641,600
  5. Step 5: Solve for x
    x = 71,267,641,600/150,176
  6. Step 6: Final answer
    x = 474,560.79

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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.