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Finding the Third Proportional to 246,198.38 and 535,532.63

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Solution

The third proportional to 246,198.38 and 535,532.63 is: 1,164,894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,198.38 : 535,532.63 = 535,532.63 : x
  2. Step 2: Convert to fraction form
    246,198.38/535,532.63 = 535,532.63/x
  3. Step 3: Cross multiply
    246,198.38x = 535,532.63 × 535,532.63
  4. Step 4: Simplify right side
    246,198.38x = 286,795,192,439.39
  5. Step 5: Solve for x
    x = 286,795,192,439.39/246,198.38
  6. Step 6: Final answer
    x = 1,164,894.74

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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.