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Finding the Third Proportional to 234,208 and 350,672

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Solution

The third proportional to 234,208 and 350,672 is: 525,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,208 : 350,672 = 350,672 : x
  2. Step 2: Convert to fraction form
    234,208/350,672 = 350,672/x
  3. Step 3: Cross multiply
    234,208x = 350,672 × 350,672
  4. Step 4: Simplify right side
    234,208x = 122,970,851,584
  5. Step 5: Solve for x
    x = 122,970,851,584/234,208
  6. Step 6: Final answer
    x = 525,049.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.