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Finding the Third Proportional to 146,208 and 218,736

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Solution

The third proportional to 146,208 and 218,736 is: 327,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,208 : 218,736 = 218,736 : x
  2. Step 2: Convert to fraction form
    146,208/218,736 = 218,736/x
  3. Step 3: Cross multiply
    146,208x = 218,736 × 218,736
  4. Step 4: Simplify right side
    146,208x = 47,845,437,696
  5. Step 5: Solve for x
    x = 47,845,437,696/146,208
  6. Step 6: Final answer
    x = 327,242.27

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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.