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Finding the Third Proportional to 162,976 and 336,104

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Solution

The third proportional to 162,976 and 336,104 is: 693,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,976 : 336,104 = 336,104 : x
  2. Step 2: Convert to fraction form
    162,976/336,104 = 336,104/x
  3. Step 3: Cross multiply
    162,976x = 336,104 × 336,104
  4. Step 4: Simplify right side
    162,976x = 112,965,898,816
  5. Step 5: Solve for x
    x = 112,965,898,816/162,976
  6. Step 6: Final answer
    x = 693,144.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.