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Finding the Third Proportional to 150,956 and 308,466

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Solution

The third proportional to 150,956 and 308,466 is: 630,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,956 : 308,466 = 308,466 : x
  2. Step 2: Convert to fraction form
    150,956/308,466 = 308,466/x
  3. Step 3: Cross multiply
    150,956x = 308,466 × 308,466
  4. Step 4: Simplify right side
    150,956x = 95,151,273,156
  5. Step 5: Solve for x
    x = 95,151,273,156/150,956
  6. Step 6: Final answer
    x = 630,324.55

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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.