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Finding the Third Proportional to 172,800 and 274,752

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Solution

The third proportional to 172,800 and 274,752 is: 436,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,800 : 274,752 = 274,752 : x
  2. Step 2: Convert to fraction form
    172,800/274,752 = 274,752/x
  3. Step 3: Cross multiply
    172,800x = 274,752 × 274,752
  4. Step 4: Simplify right side
    172,800x = 75,488,661,504
  5. Step 5: Solve for x
    x = 75,488,661,504/172,800
  6. Step 6: Final answer
    x = 436,855.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.