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Finding the Third Proportional to 150,100 and 230,142

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Solution

The third proportional to 150,100 and 230,142 is: 352,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,100 : 230,142 = 230,142 : x
  2. Step 2: Convert to fraction form
    150,100/230,142 = 230,142/x
  3. Step 3: Cross multiply
    150,100x = 230,142 × 230,142
  4. Step 4: Simplify right side
    150,100x = 52,965,340,164
  5. Step 5: Solve for x
    x = 52,965,340,164/150,100
  6. Step 6: Final answer
    x = 352,867.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.