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Finding the Third Proportional to 70,285.50 and 146,400.75

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Solution

The third proportional to 70,285.50 and 146,400.75 is: 304,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,285.50 : 146,400.75 = 146,400.75 : x
  2. Step 2: Convert to fraction form
    70,285.50/146,400.75 = 146,400.75/x
  3. Step 3: Cross multiply
    70,285.50x = 146,400.75 × 146,400.75
  4. Step 4: Simplify right side
    70,285.50x = 21,433,179,600.56
  5. Step 5: Solve for x
    x = 21,433,179,600.56/70,285.50
  6. Step 6: Final answer
    x = 304,944.54

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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.