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Finding the Third Proportional to 162,328 and 354,182

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Solution

The third proportional to 162,328 and 354,182 is: 772,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,328 : 354,182 = 354,182 : x
  2. Step 2: Convert to fraction form
    162,328/354,182 = 354,182/x
  3. Step 3: Cross multiply
    162,328x = 354,182 × 354,182
  4. Step 4: Simplify right side
    162,328x = 125,444,889,124
  5. Step 5: Solve for x
    x = 125,444,889,124/162,328
  6. Step 6: Final answer
    x = 772,786.51

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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.