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Finding the Third Proportional to 150,096 and 211,104

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Solution

The third proportional to 150,096 and 211,104 is: 296,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,096 : 211,104 = 211,104 : x
  2. Step 2: Convert to fraction form
    150,096/211,104 = 211,104/x
  3. Step 3: Cross multiply
    150,096x = 211,104 × 211,104
  4. Step 4: Simplify right side
    150,096x = 44,564,898,816
  5. Step 5: Solve for x
    x = 44,564,898,816/150,096
  6. Step 6: Final answer
    x = 296,909.30

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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.