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Finding the Third Proportional to 160,071.75 and 231,844.50

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Solution

The third proportional to 160,071.75 and 231,844.50 is: 335,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,071.75 : 231,844.50 = 231,844.50 : x
  2. Step 2: Convert to fraction form
    160,071.75/231,844.50 = 231,844.50/x
  3. Step 3: Cross multiply
    160,071.75x = 231,844.50 × 231,844.50
  4. Step 4: Simplify right side
    160,071.75x = 53,751,872,180.25
  5. Step 5: Solve for x
    x = 53,751,872,180.25/160,071.75
  6. Step 6: Final answer
    x = 335,798.62

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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.