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Finding the Third Proportional to 73,367 and 160,800

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Solution

The third proportional to 73,367 and 160,800 is: 352,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,367 : 160,800 = 160,800 : x
  2. Step 2: Convert to fraction form
    73,367/160,800 = 160,800/x
  3. Step 3: Cross multiply
    73,367x = 160,800 × 160,800
  4. Step 4: Simplify right side
    73,367x = 25,856,640,000
  5. Step 5: Solve for x
    x = 25,856,640,000/73,367
  6. Step 6: Final answer
    x = 352,428.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.