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Finding the Third Proportional to 248,176 and 543,296

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Solution

The third proportional to 248,176 and 543,296 is: 1,189,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,176 : 543,296 = 543,296 : x
  2. Step 2: Convert to fraction form
    248,176/543,296 = 543,296/x
  3. Step 3: Cross multiply
    248,176x = 543,296 × 543,296
  4. Step 4: Simplify right side
    248,176x = 295,170,543,616
  5. Step 5: Solve for x
    x = 295,170,543,616/248,176
  6. Step 6: Final answer
    x = 1,189,359.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.