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Finding the Third Proportional to 159,296 and 248,622

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Solution

The third proportional to 159,296 and 248,622 is: 388,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,296 : 248,622 = 248,622 : x
  2. Step 2: Convert to fraction form
    159,296/248,622 = 248,622/x
  3. Step 3: Cross multiply
    159,296x = 248,622 × 248,622
  4. Step 4: Simplify right side
    159,296x = 61,812,898,884
  5. Step 5: Solve for x
    x = 61,812,898,884/159,296
  6. Step 6: Final answer
    x = 388,037.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.