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Finding the Third Proportional to 154,112 and 244,096

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Solution

The third proportional to 154,112 and 244,096 is: 386,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,112 : 244,096 = 244,096 : x
  2. Step 2: Convert to fraction form
    154,112/244,096 = 244,096/x
  3. Step 3: Cross multiply
    154,112x = 244,096 × 244,096
  4. Step 4: Simplify right side
    154,112x = 59,582,857,216
  5. Step 5: Solve for x
    x = 59,582,857,216/154,112
  6. Step 6: Final answer
    x = 386,620.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.