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Finding the Third Proportional to 180,338.91 and 281,426.06

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Solution

The third proportional to 180,338.91 and 281,426.06 is: 439,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,338.91 : 281,426.06 = 281,426.06 : x
  2. Step 2: Convert to fraction form
    180,338.91/281,426.06 = 281,426.06/x
  3. Step 3: Cross multiply
    180,338.91x = 281,426.06 × 281,426.06
  4. Step 4: Simplify right side
    180,338.91x = 79,200,628,654.25
  5. Step 5: Solve for x
    x = 79,200,628,654.25/180,338.91
  6. Step 6: Final answer
    x = 439,176.61

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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.