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Finding the Third Proportional to 94,824 and 204,591

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Solution

The third proportional to 94,824 and 204,591 is: 441,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,824 : 204,591 = 204,591 : x
  2. Step 2: Convert to fraction form
    94,824/204,591 = 204,591/x
  3. Step 3: Cross multiply
    94,824x = 204,591 × 204,591
  4. Step 4: Simplify right side
    94,824x = 41,857,477,281
  5. Step 5: Solve for x
    x = 41,857,477,281/94,824
  6. Step 6: Final answer
    x = 441,422.82

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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.