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Finding the Third Proportional to 132,438 and 281,947

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Solution

The third proportional to 132,438 and 281,947 is: 600,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,438 : 281,947 = 281,947 : x
  2. Step 2: Convert to fraction form
    132,438/281,947 = 281,947/x
  3. Step 3: Cross multiply
    132,438x = 281,947 × 281,947
  4. Step 4: Simplify right side
    132,438x = 79,494,110,809
  5. Step 5: Solve for x
    x = 79,494,110,809/132,438
  6. Step 6: Final answer
    x = 600,236.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.