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Finding the Third Proportional to 150,960 and 308,474

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Solution

The third proportional to 150,960 and 308,474 is: 630,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,960 : 308,474 = 308,474 : x
  2. Step 2: Convert to fraction form
    150,960/308,474 = 308,474/x
  3. Step 3: Cross multiply
    150,960x = 308,474 × 308,474
  4. Step 4: Simplify right side
    150,960x = 95,156,208,676
  5. Step 5: Solve for x
    x = 95,156,208,676/150,960
  6. Step 6: Final answer
    x = 630,340.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.