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Finding the Third Proportional to 70,176 and 150,360

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Solution

The third proportional to 70,176 and 150,360 is: 322,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,176 : 150,360 = 150,360 : x
  2. Step 2: Convert to fraction form
    70,176/150,360 = 150,360/x
  3. Step 3: Cross multiply
    70,176x = 150,360 × 150,360
  4. Step 4: Simplify right side
    70,176x = 22,608,129,600
  5. Step 5: Solve for x
    x = 22,608,129,600/70,176
  6. Step 6: Final answer
    x = 322,163.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.