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Finding the Third Proportional to 160,168.50 and 231,990.75

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Solution

The third proportional to 160,168.50 and 231,990.75 is: 336,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,168.50 : 231,990.75 = 231,990.75 : x
  2. Step 2: Convert to fraction form
    160,168.50/231,990.75 = 231,990.75/x
  3. Step 3: Cross multiply
    160,168.50x = 231,990.75 × 231,990.75
  4. Step 4: Simplify right side
    160,168.50x = 53,819,708,085.56
  5. Step 5: Solve for x
    x = 53,819,708,085.56/160,168.50
  6. Step 6: Final answer
    x = 336,019.31

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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.