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Finding the Third Proportional to 159,536 and 246,997

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Solution

The third proportional to 159,536 and 246,997 is: 382,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536 : 246,997 = 246,997 : x
  2. Step 2: Convert to fraction form
    159,536/246,997 = 246,997/x
  3. Step 3: Cross multiply
    159,536x = 246,997 × 246,997
  4. Step 4: Simplify right side
    159,536x = 61,007,518,009
  5. Step 5: Solve for x
    x = 61,007,518,009/159,536
  6. Step 6: Final answer
    x = 382,405.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.