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Finding the Third Proportional to 246,198.75 and 535,533.38

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Solution

The third proportional to 246,198.75 and 535,533.38 is: 1,164,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,198.75 : 535,533.38 = 535,533.38 : x
  2. Step 2: Convert to fraction form
    246,198.75/535,533.38 = 535,533.38/x
  3. Step 3: Cross multiply
    246,198.75x = 535,533.38 × 535,533.38
  4. Step 4: Simplify right side
    246,198.75x = 286,795,995,738.89
  5. Step 5: Solve for x
    x = 286,795,995,738.89/246,198.75
  6. Step 6: Final answer
    x = 1,164,896.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.