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Finding the Third Proportional to 172,627 and 262,544

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Solution

The third proportional to 172,627 and 262,544 is: 399,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,627 : 262,544 = 262,544 : x
  2. Step 2: Convert to fraction form
    172,627/262,544 = 262,544/x
  3. Step 3: Cross multiply
    172,627x = 262,544 × 262,544
  4. Step 4: Simplify right side
    172,627x = 68,929,351,936
  5. Step 5: Solve for x
    x = 68,929,351,936/172,627
  6. Step 6: Final answer
    x = 399,296.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.