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Finding the Third Proportional to 254,326 and 373,694

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Solution

The third proportional to 254,326 and 373,694 is: 549,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,326 : 373,694 = 373,694 : x
  2. Step 2: Convert to fraction form
    254,326/373,694 = 373,694/x
  3. Step 3: Cross multiply
    254,326x = 373,694 × 373,694
  4. Step 4: Simplify right side
    254,326x = 139,647,205,636
  5. Step 5: Solve for x
    x = 139,647,205,636/254,326
  6. Step 6: Final answer
    x = 549,087.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.