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Finding the Third Proportional to 175,696 and 383,195

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Solution

The third proportional to 175,696 and 383,195 is: 835,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,696 : 383,195 = 383,195 : x
  2. Step 2: Convert to fraction form
    175,696/383,195 = 383,195/x
  3. Step 3: Cross multiply
    175,696x = 383,195 × 383,195
  4. Step 4: Simplify right side
    175,696x = 146,838,408,025
  5. Step 5: Solve for x
    x = 146,838,408,025/175,696
  6. Step 6: Final answer
    x = 835,752.71

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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.