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Finding the Third Proportional to 158,842 and 246,976

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Solution

The third proportional to 158,842 and 246,976 is: 384,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,842 : 246,976 = 246,976 : x
  2. Step 2: Convert to fraction form
    158,842/246,976 = 246,976/x
  3. Step 3: Cross multiply
    158,842x = 246,976 × 246,976
  4. Step 4: Simplify right side
    158,842x = 60,997,144,576
  5. Step 5: Solve for x
    x = 60,997,144,576/158,842
  6. Step 6: Final answer
    x = 384,011.44

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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.