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Finding the Third Proportional to 160,576 and 184,000

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Solution

The third proportional to 160,576 and 184,000 is: 210,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,576 : 184,000 = 184,000 : x
  2. Step 2: Convert to fraction form
    160,576/184,000 = 184,000/x
  3. Step 3: Cross multiply
    160,576x = 184,000 × 184,000
  4. Step 4: Simplify right side
    160,576x = 33,856,000,000
  5. Step 5: Solve for x
    x = 33,856,000,000/160,576
  6. Step 6: Final answer
    x = 210,840.97

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.