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Finding the Third Proportional to 154,696 and 246,152

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Solution

The third proportional to 154,696 and 246,152 is: 391,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,696 : 246,152 = 246,152 : x
  2. Step 2: Convert to fraction form
    154,696/246,152 = 246,152/x
  3. Step 3: Cross multiply
    154,696x = 246,152 × 246,152
  4. Step 4: Simplify right side
    154,696x = 60,590,807,104
  5. Step 5: Solve for x
    x = 60,590,807,104/154,696
  6. Step 6: Final answer
    x = 391,676.62

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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.