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Finding the Third Proportional to 244,891.38 and 378,254.94

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Solution

The third proportional to 244,891.38 and 378,254.94 is: 584,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,891.38 : 378,254.94 = 378,254.94 : x
  2. Step 2: Convert to fraction form
    244,891.38/378,254.94 = 378,254.94/x
  3. Step 3: Cross multiply
    244,891.38x = 378,254.94 × 378,254.94
  4. Step 4: Simplify right side
    244,891.38x = 143,076,797,743.13
  5. Step 5: Solve for x
    x = 143,076,797,743.13/244,891.38
  6. Step 6: Final answer
    x = 584,245.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.