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Finding the Third Proportional to 158,144 and 342,512

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Solution

The third proportional to 158,144 and 342,512 is: 741,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,144 : 342,512 = 342,512 : x
  2. Step 2: Convert to fraction form
    158,144/342,512 = 342,512/x
  3. Step 3: Cross multiply
    158,144x = 342,512 × 342,512
  4. Step 4: Simplify right side
    158,144x = 117,314,470,144
  5. Step 5: Solve for x
    x = 117,314,470,144/158,144
  6. Step 6: Final answer
    x = 741,820.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.