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Finding the Third Proportional to 73,474 and 160,268

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Solution

The third proportional to 73,474 and 160,268 is: 349,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,474 : 160,268 = 160,268 : x
  2. Step 2: Convert to fraction form
    73,474/160,268 = 160,268/x
  3. Step 3: Cross multiply
    73,474x = 160,268 × 160,268
  4. Step 4: Simplify right side
    73,474x = 25,685,831,824
  5. Step 5: Solve for x
    x = 25,685,831,824/73,474
  6. Step 6: Final answer
    x = 349,590.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.