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Finding the Third Proportional to 258,904 and 347,694

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Solution

The third proportional to 258,904 and 347,694 is: 466,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,904 : 347,694 = 347,694 : x
  2. Step 2: Convert to fraction form
    258,904/347,694 = 347,694/x
  3. Step 3: Cross multiply
    258,904x = 347,694 × 347,694
  4. Step 4: Simplify right side
    258,904x = 120,891,117,636
  5. Step 5: Solve for x
    x = 120,891,117,636/258,904
  6. Step 6: Final answer
    x = 466,934.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.