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Finding the Third Proportional to 223,942.54 and 487,249.65

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Solution

The third proportional to 223,942.54 and 487,249.65 is: 1,060,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,942.54 : 487,249.65 = 487,249.65 : x
  2. Step 2: Convert to fraction form
    223,942.54/487,249.65 = 487,249.65/x
  3. Step 3: Cross multiply
    223,942.54x = 487,249.65 × 487,249.65
  4. Step 4: Simplify right side
    223,942.54x = 237,412,217,999.15
  5. Step 5: Solve for x
    x = 237,412,217,999.15/223,942.54
  6. Step 6: Final answer
    x = 1,060,147.94

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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.