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Finding the Third Proportional to 100,272 and 217,824

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Solution

The third proportional to 100,272 and 217,824 is: 473,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,272 : 217,824 = 217,824 : x
  2. Step 2: Convert to fraction form
    100,272/217,824 = 217,824/x
  3. Step 3: Cross multiply
    100,272x = 217,824 × 217,824
  4. Step 4: Simplify right side
    100,272x = 47,447,294,976
  5. Step 5: Solve for x
    x = 47,447,294,976/100,272
  6. Step 6: Final answer
    x = 473,185.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.