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Finding the Third Proportional to 201,934 and 311,324

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Solution

The third proportional to 201,934 and 311,324 is: 479,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,934 : 311,324 = 311,324 : x
  2. Step 2: Convert to fraction form
    201,934/311,324 = 311,324/x
  3. Step 3: Cross multiply
    201,934x = 311,324 × 311,324
  4. Step 4: Simplify right side
    201,934x = 96,922,632,976
  5. Step 5: Solve for x
    x = 96,922,632,976/201,934
  6. Step 6: Final answer
    x = 479,971.84

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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.