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Finding the Third Proportional to 94,242 and 204,846

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Solution

The third proportional to 94,242 and 204,846 is: 445,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,242 : 204,846 = 204,846 : x
  2. Step 2: Convert to fraction form
    94,242/204,846 = 204,846/x
  3. Step 3: Cross multiply
    94,242x = 204,846 × 204,846
  4. Step 4: Simplify right side
    94,242x = 41,961,883,716
  5. Step 5: Solve for x
    x = 41,961,883,716/94,242
  6. Step 6: Final answer
    x = 445,256.72

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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.