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Finding the Third Proportional to 159,702 and 347,736

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Solution

The third proportional to 159,702 and 347,736 is: 757,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,702 : 347,736 = 347,736 : x
  2. Step 2: Convert to fraction form
    159,702/347,736 = 347,736/x
  3. Step 3: Cross multiply
    159,702x = 347,736 × 347,736
  4. Step 4: Simplify right side
    159,702x = 120,920,325,696
  5. Step 5: Solve for x
    x = 120,920,325,696/159,702
  6. Step 6: Final answer
    x = 757,162.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.