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Finding the Third Proportional to 144,084.75 and 231,504.75

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Solution

The third proportional to 144,084.75 and 231,504.75 is: 371,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,084.75 : 231,504.75 = 231,504.75 : x
  2. Step 2: Convert to fraction form
    144,084.75/231,504.75 = 231,504.75/x
  3. Step 3: Cross multiply
    144,084.75x = 231,504.75 × 231,504.75
  4. Step 4: Simplify right side
    144,084.75x = 53,594,449,272.56
  5. Step 5: Solve for x
    x = 53,594,449,272.56/144,084.75
  6. Step 6: Final answer
    x = 371,964.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.