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Finding the Third Proportional to 168,544 and 253,884

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Solution

The third proportional to 168,544 and 253,884 is: 382,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,544 : 253,884 = 253,884 : x
  2. Step 2: Convert to fraction form
    168,544/253,884 = 253,884/x
  3. Step 3: Cross multiply
    168,544x = 253,884 × 253,884
  4. Step 4: Simplify right side
    168,544x = 64,457,085,456
  5. Step 5: Solve for x
    x = 64,457,085,456/168,544
  6. Step 6: Final answer
    x = 382,434.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.