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Finding the Third Proportional to 192,834 and 418,836.38

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Solution

The third proportional to 192,834 and 418,836.38 is: 909,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,834 : 418,836.38 = 418,836.38 : x
  2. Step 2: Convert to fraction form
    192,834/418,836.38 = 418,836.38/x
  3. Step 3: Cross multiply
    192,834x = 418,836.38 × 418,836.38
  4. Step 4: Simplify right side
    192,834x = 175,423,909,023.14
  5. Step 5: Solve for x
    x = 175,423,909,023.14/192,834
  6. Step 6: Final answer
    x = 909,714.62

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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.