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Finding the Third Proportional to 213,832 and 311,240

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Solution

The third proportional to 213,832 and 311,240 is: 453,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,832 : 311,240 = 311,240 : x
  2. Step 2: Convert to fraction form
    213,832/311,240 = 311,240/x
  3. Step 3: Cross multiply
    213,832x = 311,240 × 311,240
  4. Step 4: Simplify right side
    213,832x = 96,870,337,600
  5. Step 5: Solve for x
    x = 96,870,337,600/213,832
  6. Step 6: Final answer
    x = 453,020.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.