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Finding the Third Proportional to 103,674.38 and 225,786.38

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Solution

The third proportional to 103,674.38 and 225,786.38 is: 491,726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674.38 : 225,786.38 = 225,786.38 : x
  2. Step 2: Convert to fraction form
    103,674.38/225,786.38 = 225,786.38/x
  3. Step 3: Cross multiply
    103,674.38x = 225,786.38 × 225,786.38
  4. Step 4: Simplify right side
    103,674.38x = 50,979,487,135.64
  5. Step 5: Solve for x
    x = 50,979,487,135.64/103,674.38
  6. Step 6: Final answer
    x = 491,726.98

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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.