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Finding the Third Proportional to 154,693 and 246,149

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Solution

The third proportional to 154,693 and 246,149 is: 391,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,693 : 246,149 = 246,149 : x
  2. Step 2: Convert to fraction form
    154,693/246,149 = 246,149/x
  3. Step 3: Cross multiply
    154,693x = 246,149 × 246,149
  4. Step 4: Simplify right side
    154,693x = 60,589,330,201
  5. Step 5: Solve for x
    x = 60,589,330,201/154,693
  6. Step 6: Final answer
    x = 391,674.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.