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Finding the Third Proportional to 172,262.25 and 251,589.38

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Solution

The third proportional to 172,262.25 and 251,589.38 is: 367,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,262.25 : 251,589.38 = 251,589.38 : x
  2. Step 2: Convert to fraction form
    172,262.25/251,589.38 = 251,589.38/x
  3. Step 3: Cross multiply
    172,262.25x = 251,589.38 × 251,589.38
  4. Step 4: Simplify right side
    172,262.25x = 63,297,213,612.89
  5. Step 5: Solve for x
    x = 63,297,213,612.89/172,262.25
  6. Step 6: Final answer
    x = 367,446.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.