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Finding the Third Proportional to 94,824 and 219,519

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Solution

The third proportional to 94,824 and 219,519 is: 508,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,824 : 219,519 = 219,519 : x
  2. Step 2: Convert to fraction form
    94,824/219,519 = 219,519/x
  3. Step 3: Cross multiply
    94,824x = 219,519 × 219,519
  4. Step 4: Simplify right side
    94,824x = 48,188,591,361
  5. Step 5: Solve for x
    x = 48,188,591,361/94,824
  6. Step 6: Final answer
    x = 508,189.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.