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Finding the Third Proportional to 172,350 and 376,774

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Solution

The third proportional to 172,350 and 376,774 is: 823,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,350 : 376,774 = 376,774 : x
  2. Step 2: Convert to fraction form
    172,350/376,774 = 376,774/x
  3. Step 3: Cross multiply
    172,350x = 376,774 × 376,774
  4. Step 4: Simplify right side
    172,350x = 141,958,647,076
  5. Step 5: Solve for x
    x = 141,958,647,076/172,350
  6. Step 6: Final answer
    x = 823,664.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.