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Finding the Third Proportional to 160,072 and 231,844

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Solution

The third proportional to 160,072 and 231,844 is: 335,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,072 : 231,844 = 231,844 : x
  2. Step 2: Convert to fraction form
    160,072/231,844 = 231,844/x
  3. Step 3: Cross multiply
    160,072x = 231,844 × 231,844
  4. Step 4: Simplify right side
    160,072x = 53,751,640,336
  5. Step 5: Solve for x
    x = 53,751,640,336/160,072
  6. Step 6: Final answer
    x = 335,796.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.