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Finding the Third Proportional to 159,144 and 343,194

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Solution

The third proportional to 159,144 and 343,194 is: 740,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,144 : 343,194 = 343,194 : x
  2. Step 2: Convert to fraction form
    159,144/343,194 = 343,194/x
  3. Step 3: Cross multiply
    159,144x = 343,194 × 343,194
  4. Step 4: Simplify right side
    159,144x = 117,782,121,636
  5. Step 5: Solve for x
    x = 117,782,121,636/159,144
  6. Step 6: Final answer
    x = 740,097.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.