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Finding the Third Proportional to 158,856 and 246,996

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Solution

The third proportional to 158,856 and 246,996 is: 384,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,856 : 246,996 = 246,996 : x
  2. Step 2: Convert to fraction form
    158,856/246,996 = 246,996/x
  3. Step 3: Cross multiply
    158,856x = 246,996 × 246,996
  4. Step 4: Simplify right side
    158,856x = 61,007,024,016
  5. Step 5: Solve for x
    x = 61,007,024,016/158,856
  6. Step 6: Final answer
    x = 384,039.78

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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.