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Finding the Third Proportional to 150,961 and 308,476

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Solution

The third proportional to 150,961 and 308,476 is: 630,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,961 : 308,476 = 308,476 : x
  2. Step 2: Convert to fraction form
    150,961/308,476 = 308,476/x
  3. Step 3: Cross multiply
    150,961x = 308,476 × 308,476
  4. Step 4: Simplify right side
    150,961x = 95,157,442,576
  5. Step 5: Solve for x
    x = 95,157,442,576/150,961
  6. Step 6: Final answer
    x = 630,344.54

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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.