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Finding the Third Proportional to 150,708 and 232,990

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Solution

The third proportional to 150,708 and 232,990 is: 360,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,708 : 232,990 = 232,990 : x
  2. Step 2: Convert to fraction form
    150,708/232,990 = 232,990/x
  3. Step 3: Cross multiply
    150,708x = 232,990 × 232,990
  4. Step 4: Simplify right side
    150,708x = 54,284,340,100
  5. Step 5: Solve for x
    x = 54,284,340,100/150,708
  6. Step 6: Final answer
    x = 360,195.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.