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Finding the Third Proportional to 154,694 and 246,151

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Solution

The third proportional to 154,694 and 246,151 is: 391,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,694 : 246,151 = 246,151 : x
  2. Step 2: Convert to fraction form
    154,694/246,151 = 246,151/x
  3. Step 3: Cross multiply
    154,694x = 246,151 × 246,151
  4. Step 4: Simplify right side
    154,694x = 60,590,314,801
  5. Step 5: Solve for x
    x = 60,590,314,801/154,694
  6. Step 6: Final answer
    x = 391,678.51

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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.