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Finding the Third Proportional to 173,406 and 376,338

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Solution

The third proportional to 173,406 and 376,338 is: 816,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,406 : 376,338 = 376,338 : x
  2. Step 2: Convert to fraction form
    173,406/376,338 = 376,338/x
  3. Step 3: Cross multiply
    173,406x = 376,338 × 376,338
  4. Step 4: Simplify right side
    173,406x = 141,630,290,244
  5. Step 5: Solve for x
    x = 141,630,290,244/173,406
  6. Step 6: Final answer
    x = 816,755.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.