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Finding the Third Proportional to 162,880 and 350,384

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Solution

The third proportional to 162,880 and 350,384 is: 753,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,880 : 350,384 = 350,384 : x
  2. Step 2: Convert to fraction form
    162,880/350,384 = 350,384/x
  3. Step 3: Cross multiply
    162,880x = 350,384 × 350,384
  4. Step 4: Simplify right side
    162,880x = 122,768,947,456
  5. Step 5: Solve for x
    x = 122,768,947,456/162,880
  6. Step 6: Final answer
    x = 753,738.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.