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Finding the Third Proportional to 143,557.50 and 298,923

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Solution

The third proportional to 143,557.50 and 298,923 is: 622,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,557.50 : 298,923 = 298,923 : x
  2. Step 2: Convert to fraction form
    143,557.50/298,923 = 298,923/x
  3. Step 3: Cross multiply
    143,557.50x = 298,923 × 298,923
  4. Step 4: Simplify right side
    143,557.50x = 89,354,959,929
  5. Step 5: Solve for x
    x = 89,354,959,929/143,557.50
  6. Step 6: Final answer
    x = 622,433.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.