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Finding the Third Proportional to 132,204 and 290,652

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Solution

The third proportional to 132,204 and 290,652 is: 639,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,204 : 290,652 = 290,652 : x
  2. Step 2: Convert to fraction form
    132,204/290,652 = 290,652/x
  3. Step 3: Cross multiply
    132,204x = 290,652 × 290,652
  4. Step 4: Simplify right side
    132,204x = 84,478,585,104
  5. Step 5: Solve for x
    x = 84,478,585,104/132,204
  6. Step 6: Final answer
    x = 639,001.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.