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Finding the Third Proportional to 169,884 and 263,574

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Solution

The third proportional to 169,884 and 263,574 is: 408,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,884 : 263,574 = 263,574 : x
  2. Step 2: Convert to fraction form
    169,884/263,574 = 263,574/x
  3. Step 3: Cross multiply
    169,884x = 263,574 × 263,574
  4. Step 4: Simplify right side
    169,884x = 69,471,253,476
  5. Step 5: Solve for x
    x = 69,471,253,476/169,884
  6. Step 6: Final answer
    x = 408,933.47

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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.