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Finding the Third Proportional to 177,836 and 316,198

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Solution

The third proportional to 177,836 and 316,198 is: 562,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,836 : 316,198 = 316,198 : x
  2. Step 2: Convert to fraction form
    177,836/316,198 = 316,198/x
  3. Step 3: Cross multiply
    177,836x = 316,198 × 316,198
  4. Step 4: Simplify right side
    177,836x = 99,981,175,204
  5. Step 5: Solve for x
    x = 99,981,175,204/177,836
  6. Step 6: Final answer
    x = 562,209.99

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.