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Finding the Third Proportional to 196,304 and 418,736

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Solution

The third proportional to 196,304 and 418,736 is: 893,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,304 : 418,736 = 418,736 : x
  2. Step 2: Convert to fraction form
    196,304/418,736 = 418,736/x
  3. Step 3: Cross multiply
    196,304x = 418,736 × 418,736
  4. Step 4: Simplify right side
    196,304x = 175,339,837,696
  5. Step 5: Solve for x
    x = 175,339,837,696/196,304
  6. Step 6: Final answer
    x = 893,205.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.