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Finding the Third Proportional to 162,606 and 250,245

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Solution

The third proportional to 162,606 and 250,245 is: 385,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,606 : 250,245 = 250,245 : x
  2. Step 2: Convert to fraction form
    162,606/250,245 = 250,245/x
  3. Step 3: Cross multiply
    162,606x = 250,245 × 250,245
  4. Step 4: Simplify right side
    162,606x = 62,622,560,025
  5. Step 5: Solve for x
    x = 62,622,560,025/162,606
  6. Step 6: Final answer
    x = 385,118.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.