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Finding the Third Proportional to 180,341.44 and 281,431.69

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Solution

The third proportional to 180,341.44 and 281,431.69 is: 439,188.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,341.44 : 281,431.69 = 281,431.69 : x
  2. Step 2: Convert to fraction form
    180,341.44/281,431.69 = 281,431.69/x
  3. Step 3: Cross multiply
    180,341.44x = 281,431.69 × 281,431.69
  4. Step 4: Simplify right side
    180,341.44x = 79,203,794,729.10
  5. Step 5: Solve for x
    x = 79,203,794,729.10/180,341.44
  6. Step 6: Final answer
    x = 439,188.00

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