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Finding the Third Proportional to 194,872 and 416,096

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Solution

The third proportional to 194,872 and 416,096 is: 888,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,872 : 416,096 = 416,096 : x
  2. Step 2: Convert to fraction form
    194,872/416,096 = 416,096/x
  3. Step 3: Cross multiply
    194,872x = 416,096 × 416,096
  4. Step 4: Simplify right side
    194,872x = 173,135,881,216
  5. Step 5: Solve for x
    x = 173,135,881,216/194,872
  6. Step 6: Final answer
    x = 888,459.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.