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Finding the Third Proportional to 175,966 and 383,694

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Solution

The third proportional to 175,966 and 383,694 is: 836,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,966 : 383,694 = 383,694 : x
  2. Step 2: Convert to fraction form
    175,966/383,694 = 383,694/x
  3. Step 3: Cross multiply
    175,966x = 383,694 × 383,694
  4. Step 4: Simplify right side
    175,966x = 147,221,085,636
  5. Step 5: Solve for x
    x = 147,221,085,636/175,966
  6. Step 6: Final answer
    x = 836,645.07

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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.