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Finding the Third Proportional to 133,550 and 206,512

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Solution

The third proportional to 133,550 and 206,512 is: 319,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,550 : 206,512 = 206,512 : x
  2. Step 2: Convert to fraction form
    133,550/206,512 = 206,512/x
  3. Step 3: Cross multiply
    133,550x = 206,512 × 206,512
  4. Step 4: Simplify right side
    133,550x = 42,647,206,144
  5. Step 5: Solve for x
    x = 42,647,206,144/133,550
  6. Step 6: Final answer
    x = 319,335.13

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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.