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Finding the Third Proportional to 94,094 and 206,620

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Solution

The third proportional to 94,094 and 206,620 is: 453,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,094 : 206,620 = 206,620 : x
  2. Step 2: Convert to fraction form
    94,094/206,620 = 206,620/x
  3. Step 3: Cross multiply
    94,094x = 206,620 × 206,620
  4. Step 4: Simplify right side
    94,094x = 42,691,824,400
  5. Step 5: Solve for x
    x = 42,691,824,400/94,094
  6. Step 6: Final answer
    x = 453,714.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.