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Finding the Third Proportional to 70,800 and 150,816

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Solution

The third proportional to 70,800 and 150,816 is: 321,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,800 : 150,816 = 150,816 : x
  2. Step 2: Convert to fraction form
    70,800/150,816 = 150,816/x
  3. Step 3: Cross multiply
    70,800x = 150,816 × 150,816
  4. Step 4: Simplify right side
    70,800x = 22,745,465,856
  5. Step 5: Solve for x
    x = 22,745,465,856/70,800
  6. Step 6: Final answer
    x = 321,263.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.