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Finding the Third Proportional to 162,162 and 350,163

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Solution

The third proportional to 162,162 and 350,163 is: 756,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,162 : 350,163 = 350,163 : x
  2. Step 2: Convert to fraction form
    162,162/350,163 = 350,163/x
  3. Step 3: Cross multiply
    162,162x = 350,163 × 350,163
  4. Step 4: Simplify right side
    162,162x = 122,614,126,569
  5. Step 5: Solve for x
    x = 122,614,126,569/162,162
  6. Step 6: Final answer
    x = 756,121.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.