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Finding the Third Proportional to 154,296 and 336,654

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Solution

The third proportional to 154,296 and 336,654 is: 734,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,296 : 336,654 = 336,654 : x
  2. Step 2: Convert to fraction form
    154,296/336,654 = 336,654/x
  3. Step 3: Cross multiply
    154,296x = 336,654 × 336,654
  4. Step 4: Simplify right side
    154,296x = 113,335,915,716
  5. Step 5: Solve for x
    x = 113,335,915,716/154,296
  6. Step 6: Final answer
    x = 734,535.67

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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.