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Finding the Third Proportional to 159,608 and 342,736

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Solution

The third proportional to 159,608 and 342,736 is: 735,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,608 : 342,736 = 342,736 : x
  2. Step 2: Convert to fraction form
    159,608/342,736 = 342,736/x
  3. Step 3: Cross multiply
    159,608x = 342,736 × 342,736
  4. Step 4: Simplify right side
    159,608x = 117,467,965,696
  5. Step 5: Solve for x
    x = 117,467,965,696/159,608
  6. Step 6: Final answer
    x = 735,977.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.