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Finding the Third Proportional to 132,439.50 and 281,949.75

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Solution

The third proportional to 132,439.50 and 281,949.75 is: 600,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,439.50 : 281,949.75 = 281,949.75 : x
  2. Step 2: Convert to fraction form
    132,439.50/281,949.75 = 281,949.75/x
  3. Step 3: Cross multiply
    132,439.50x = 281,949.75 × 281,949.75
  4. Step 4: Simplify right side
    132,439.50x = 79,495,661,525.06
  5. Step 5: Solve for x
    x = 79,495,661,525.06/132,439.50
  6. Step 6: Final answer
    x = 600,241.33

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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.