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Finding the Third Proportional to 207,860 and 263,676

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Solution

The third proportional to 207,860 and 263,676 is: 334,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,860 : 263,676 = 263,676 : x
  2. Step 2: Convert to fraction form
    207,860/263,676 = 263,676/x
  3. Step 3: Cross multiply
    207,860x = 263,676 × 263,676
  4. Step 4: Simplify right side
    207,860x = 69,525,032,976
  5. Step 5: Solve for x
    x = 69,525,032,976/207,860
  6. Step 6: Final answer
    x = 334,480.10

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.