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Finding the Third Proportional to 101,348 and 218,824

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Solution

The third proportional to 101,348 and 218,824 is: 472,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,348 : 218,824 = 218,824 : x
  2. Step 2: Convert to fraction form
    101,348/218,824 = 218,824/x
  3. Step 3: Cross multiply
    101,348x = 218,824 × 218,824
  4. Step 4: Simplify right side
    101,348x = 47,883,942,976
  5. Step 5: Solve for x
    x = 47,883,942,976/101,348
  6. Step 6: Final answer
    x = 472,470.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.