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Finding the Third Proportional to 160,936 and 244,000

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Solution

The third proportional to 160,936 and 244,000 is: 369,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,936 : 244,000 = 244,000 : x
  2. Step 2: Convert to fraction form
    160,936/244,000 = 244,000/x
  3. Step 3: Cross multiply
    160,936x = 244,000 × 244,000
  4. Step 4: Simplify right side
    160,936x = 59,536,000,000
  5. Step 5: Solve for x
    x = 59,536,000,000/160,936
  6. Step 6: Final answer
    x = 369,935.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.