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Finding the Third Proportional to 143,149.50 and 298,068.75

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Solution

The third proportional to 143,149.50 and 298,068.75 is: 620,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,149.50 : 298,068.75 = 298,068.75 : x
  2. Step 2: Convert to fraction form
    143,149.50/298,068.75 = 298,068.75/x
  3. Step 3: Cross multiply
    143,149.50x = 298,068.75 × 298,068.75
  4. Step 4: Simplify right side
    143,149.50x = 88,844,979,726.56
  5. Step 5: Solve for x
    x = 88,844,979,726.56/143,149.50
  6. Step 6: Final answer
    x = 620,644.71

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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.