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Finding the Third Proportional to 163,268 and 252,182

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Solution

The third proportional to 163,268 and 252,182 is: 389,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,268 : 252,182 = 252,182 : x
  2. Step 2: Convert to fraction form
    163,268/252,182 = 252,182/x
  3. Step 3: Cross multiply
    163,268x = 252,182 × 252,182
  4. Step 4: Simplify right side
    163,268x = 63,595,761,124
  5. Step 5: Solve for x
    x = 63,595,761,124/163,268
  6. Step 6: Final answer
    x = 389,517.61

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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.