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Finding the Third Proportional to 70,400.25 and 146,625.19

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Solution

The third proportional to 70,400.25 and 146,625.19 is: 305,381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,400.25 : 146,625.19 = 146,625.19 : x
  2. Step 2: Convert to fraction form
    70,400.25/146,625.19 = 146,625.19/x
  3. Step 3: Cross multiply
    70,400.25x = 146,625.19 × 146,625.19
  4. Step 4: Simplify right side
    70,400.25x = 21,498,945,609.41
  5. Step 5: Solve for x
    x = 21,498,945,609.41/70,400.25
  6. Step 6: Final answer
    x = 305,381.67

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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.