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Finding the Third Proportional to 150,540.75 and 206,429.25

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Solution

The third proportional to 150,540.75 and 206,429.25 is: 283,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,540.75 : 206,429.25 = 206,429.25 : x
  2. Step 2: Convert to fraction form
    150,540.75/206,429.25 = 206,429.25/x
  3. Step 3: Cross multiply
    150,540.75x = 206,429.25 × 206,429.25
  4. Step 4: Simplify right side
    150,540.75x = 42,613,035,255.56
  5. Step 5: Solve for x
    x = 42,613,035,255.56/150,540.75
  6. Step 6: Final answer
    x = 283,066.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.