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Finding the Third Proportional to 146,726 and 219,999

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Solution

The third proportional to 146,726 and 219,999 is: 329,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,726 : 219,999 = 219,999 : x
  2. Step 2: Convert to fraction form
    146,726/219,999 = 219,999/x
  3. Step 3: Cross multiply
    146,726x = 219,999 × 219,999
  4. Step 4: Simplify right side
    146,726x = 48,399,560,001
  5. Step 5: Solve for x
    x = 48,399,560,001/146,726
  6. Step 6: Final answer
    x = 329,863.56

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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.