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Finding the Third Proportional to 133,867.69 and 281,540.81

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Solution

The third proportional to 133,867.69 and 281,540.81 is: 592,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,867.69 : 281,540.81 = 281,540.81 : x
  2. Step 2: Convert to fraction form
    133,867.69/281,540.81 = 281,540.81/x
  3. Step 3: Cross multiply
    133,867.69x = 281,540.81 × 281,540.81
  4. Step 4: Simplify right side
    133,867.69x = 79,265,229,103.16
  5. Step 5: Solve for x
    x = 79,265,229,103.16/133,867.69
  6. Step 6: Final answer
    x = 592,116.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.