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Finding the Third Proportional to 169,223 and 253,867

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Solution

The third proportional to 169,223 and 253,867 is: 380,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,223 : 253,867 = 253,867 : x
  2. Step 2: Convert to fraction form
    169,223/253,867 = 253,867/x
  3. Step 3: Cross multiply
    169,223x = 253,867 × 253,867
  4. Step 4: Simplify right side
    169,223x = 64,448,453,689
  5. Step 5: Solve for x
    x = 64,448,453,689/169,223
  6. Step 6: Final answer
    x = 380,849.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.