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Finding the Third Proportional to 146,940 and 218,250

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Solution

The third proportional to 146,940 and 218,250 is: 324,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,940 : 218,250 = 218,250 : x
  2. Step 2: Convert to fraction form
    146,940/218,250 = 218,250/x
  3. Step 3: Cross multiply
    146,940x = 218,250 × 218,250
  4. Step 4: Simplify right side
    146,940x = 47,633,062,500
  5. Step 5: Solve for x
    x = 47,633,062,500/146,940
  6. Step 6: Final answer
    x = 324,166.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.