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Finding the Third Proportional to 169,050 and 263,268

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Solution

The third proportional to 169,050 and 263,268 is: 409,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,050 : 263,268 = 263,268 : x
  2. Step 2: Convert to fraction form
    169,050/263,268 = 263,268/x
  3. Step 3: Cross multiply
    169,050x = 263,268 × 263,268
  4. Step 4: Simplify right side
    169,050x = 69,310,039,824
  5. Step 5: Solve for x
    x = 69,310,039,824/169,050
  6. Step 6: Final answer
    x = 409,997.28

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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.