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Finding the Third Proportional to 82,668 and 179,340

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Solution

The third proportional to 82,668 and 179,340 is: 389,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,668 : 179,340 = 179,340 : x
  2. Step 2: Convert to fraction form
    82,668/179,340 = 179,340/x
  3. Step 3: Cross multiply
    82,668x = 179,340 × 179,340
  4. Step 4: Simplify right side
    82,668x = 32,162,835,600
  5. Step 5: Solve for x
    x = 32,162,835,600/82,668
  6. Step 6: Final answer
    x = 389,060.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.