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Finding the Third Proportional to 175,695 and 383,193

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Solution

The third proportional to 175,695 and 383,193 is: 835,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,695 : 383,193 = 383,193 : x
  2. Step 2: Convert to fraction form
    175,695/383,193 = 383,193/x
  3. Step 3: Cross multiply
    175,695x = 383,193 × 383,193
  4. Step 4: Simplify right side
    175,695x = 146,836,875,249
  5. Step 5: Solve for x
    x = 146,836,875,249/175,695
  6. Step 6: Final answer
    x = 835,748.74

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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.