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Finding the Third Proportional to 180,344.25 and 281,433.56

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Solution

The third proportional to 180,344.25 and 281,433.56 is: 439,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,344.25 : 281,433.56 = 281,433.56 : x
  2. Step 2: Convert to fraction form
    180,344.25/281,433.56 = 281,433.56/x
  3. Step 3: Cross multiply
    180,344.25x = 281,433.56 × 281,433.56
  4. Step 4: Simplify right side
    180,344.25x = 79,204,850,101.44
  5. Step 5: Solve for x
    x = 79,204,850,101.44/180,344.25
  6. Step 6: Final answer
    x = 439,187.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.