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Finding the Third Proportional to 200,299 and 311,937

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Solution

The third proportional to 200,299 and 311,937 is: 485,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,299 : 311,937 = 311,937 : x
  2. Step 2: Convert to fraction form
    200,299/311,937 = 311,937/x
  3. Step 3: Cross multiply
    200,299x = 311,937 × 311,937
  4. Step 4: Simplify right side
    200,299x = 97,304,691,969
  5. Step 5: Solve for x
    x = 97,304,691,969/200,299
  6. Step 6: Final answer
    x = 485,797.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.