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Finding the Third Proportional to 133,996 and 208,372

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Solution

The third proportional to 133,996 and 208,372 is: 324,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,996 : 208,372 = 208,372 : x
  2. Step 2: Convert to fraction form
    133,996/208,372 = 208,372/x
  3. Step 3: Cross multiply
    133,996x = 208,372 × 208,372
  4. Step 4: Simplify right side
    133,996x = 43,418,890,384
  5. Step 5: Solve for x
    x = 43,418,890,384/133,996
  6. Step 6: Final answer
    x = 324,031.24

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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.