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Finding the Third Proportional to 162,467.44 and 362,289.38

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Solution

The third proportional to 162,467.44 and 362,289.38 is: 807,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,467.44 : 362,289.38 = 362,289.38 : x
  2. Step 2: Convert to fraction form
    162,467.44/362,289.38 = 362,289.38/x
  3. Step 3: Cross multiply
    162,467.44x = 362,289.38 × 362,289.38
  4. Step 4: Simplify right side
    162,467.44x = 131,253,591,237.89
  5. Step 5: Solve for x
    x = 131,253,591,237.89/162,467.44
  6. Step 6: Final answer
    x = 807,876.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.