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Finding the Third Proportional to 94,624 and 205,244

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Solution

The third proportional to 94,624 and 205,244 is: 445,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,624 : 205,244 = 205,244 : x
  2. Step 2: Convert to fraction form
    94,624/205,244 = 205,244/x
  3. Step 3: Cross multiply
    94,624x = 205,244 × 205,244
  4. Step 4: Simplify right side
    94,624x = 42,125,099,536
  5. Step 5: Solve for x
    x = 42,125,099,536/94,624
  6. Step 6: Final answer
    x = 445,184.09

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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.