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Finding the Third Proportional to 129,336.75 and 281,454.75

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Solution

The third proportional to 129,336.75 and 281,454.75 is: 612,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,336.75 : 281,454.75 = 281,454.75 : x
  2. Step 2: Convert to fraction form
    129,336.75/281,454.75 = 281,454.75/x
  3. Step 3: Cross multiply
    129,336.75x = 281,454.75 × 281,454.75
  4. Step 4: Simplify right side
    129,336.75x = 79,216,776,297.56
  5. Step 5: Solve for x
    x = 79,216,776,297.56/129,336.75
  6. Step 6: Final answer
    x = 612,484.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.