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Finding the Third Proportional to 225,321.75 and 316,932.75

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Solution

The third proportional to 225,321.75 and 316,932.75 is: 445,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,321.75 : 316,932.75 = 316,932.75 : x
  2. Step 2: Convert to fraction form
    225,321.75/316,932.75 = 316,932.75/x
  3. Step 3: Cross multiply
    225,321.75x = 316,932.75 × 316,932.75
  4. Step 4: Simplify right side
    225,321.75x = 100,446,368,022.56
  5. Step 5: Solve for x
    x = 100,446,368,022.56/225,321.75
  6. Step 6: Final answer
    x = 445,790.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.