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Finding the Third Proportional to 154,146.94 and 336,234.94

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Solution

The third proportional to 154,146.94 and 336,234.94 is: 733,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,146.94 : 336,234.94 = 336,234.94 : x
  2. Step 2: Convert to fraction form
    154,146.94/336,234.94 = 336,234.94/x
  3. Step 3: Cross multiply
    154,146.94x = 336,234.94 × 336,234.94
  4. Step 4: Simplify right side
    154,146.94x = 113,053,933,195.63
  5. Step 5: Solve for x
    x = 113,053,933,195.63/154,146.94
  6. Step 6: Final answer
    x = 733,416.67

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Why These Related Problems?

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