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Finding the Third Proportional to 73,832 and 173,336

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Solution

The third proportional to 73,832 and 173,336 is: 406,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,832 : 173,336 = 173,336 : x
  2. Step 2: Convert to fraction form
    73,832/173,336 = 173,336/x
  3. Step 3: Cross multiply
    73,832x = 173,336 × 173,336
  4. Step 4: Simplify right side
    73,832x = 30,045,368,896
  5. Step 5: Solve for x
    x = 30,045,368,896/73,832
  6. Step 6: Final answer
    x = 406,942.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.