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Finding the Third Proportional to 192,336 and 418,536

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Solution

The third proportional to 192,336 and 418,536 is: 910,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,336 : 418,536 = 418,536 : x
  2. Step 2: Convert to fraction form
    192,336/418,536 = 418,536/x
  3. Step 3: Cross multiply
    192,336x = 418,536 × 418,536
  4. Step 4: Simplify right side
    192,336x = 175,172,383,296
  5. Step 5: Solve for x
    x = 175,172,383,296/192,336
  6. Step 6: Final answer
    x = 910,762.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.