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Finding the Third Proportional to 154,692 and 246,147

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Solution

The third proportional to 154,692 and 246,147 is: 391,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,692 : 246,147 = 246,147 : x
  2. Step 2: Convert to fraction form
    154,692/246,147 = 246,147/x
  3. Step 3: Cross multiply
    154,692x = 246,147 × 246,147
  4. Step 4: Simplify right side
    154,692x = 60,588,345,609
  5. Step 5: Solve for x
    x = 60,588,345,609/154,692
  6. Step 6: Final answer
    x = 391,670.84

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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.