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Finding the Third Proportional to 172,625 and 264,975

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Solution

The third proportional to 172,625 and 264,975 is: 406,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,625 : 264,975 = 264,975 : x
  2. Step 2: Convert to fraction form
    172,625/264,975 = 264,975/x
  3. Step 3: Cross multiply
    172,625x = 264,975 × 264,975
  4. Step 4: Simplify right side
    172,625x = 70,211,750,625
  5. Step 5: Solve for x
    x = 70,211,750,625/172,625
  6. Step 6: Final answer
    x = 406,729.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.