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Finding the Third Proportional to 175,959 and 383,682

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Solution

The third proportional to 175,959 and 383,682 is: 836,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,959 : 383,682 = 383,682 : x
  2. Step 2: Convert to fraction form
    175,959/383,682 = 383,682/x
  3. Step 3: Cross multiply
    175,959x = 383,682 × 383,682
  4. Step 4: Simplify right side
    175,959x = 147,211,877,124
  5. Step 5: Solve for x
    x = 147,211,877,124/175,959
  6. Step 6: Final answer
    x = 836,626.02

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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.