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Finding the Third Proportional to 200,966.75 and 311,036.75

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Solution

The third proportional to 200,966.75 and 311,036.75 is: 481,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,966.75 : 311,036.75 = 311,036.75 : x
  2. Step 2: Convert to fraction form
    200,966.75/311,036.75 = 311,036.75/x
  3. Step 3: Cross multiply
    200,966.75x = 311,036.75 × 311,036.75
  4. Step 4: Simplify right side
    200,966.75x = 96,743,859,850.56
  5. Step 5: Solve for x
    x = 96,743,859,850.56/200,966.75
  6. Step 6: Final answer
    x = 481,392.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.