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Finding the Third Proportional to 206,676 and 265,544

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Solution

The third proportional to 206,676 and 265,544 is: 341,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,676 : 265,544 = 265,544 : x
  2. Step 2: Convert to fraction form
    206,676/265,544 = 265,544/x
  3. Step 3: Cross multiply
    206,676x = 265,544 × 265,544
  4. Step 4: Simplify right side
    206,676x = 70,513,615,936
  5. Step 5: Solve for x
    x = 70,513,615,936/206,676
  6. Step 6: Final answer
    x = 341,179.51

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.