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Finding the Third Proportional to 115,638 and 252,232

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Solution

The third proportional to 115,638 and 252,232 is: 550,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,638 : 252,232 = 252,232 : x
  2. Step 2: Convert to fraction form
    115,638/252,232 = 252,232/x
  3. Step 3: Cross multiply
    115,638x = 252,232 × 252,232
  4. Step 4: Simplify right side
    115,638x = 63,620,981,824
  5. Step 5: Solve for x
    x = 63,620,981,824/115,638
  6. Step 6: Final answer
    x = 550,173.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.