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Finding the Third Proportional to 144,078.75 and 231,495.75

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Solution

The third proportional to 144,078.75 and 231,495.75 is: 371,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,078.75 : 231,495.75 = 231,495.75 : x
  2. Step 2: Convert to fraction form
    144,078.75/231,495.75 = 231,495.75/x
  3. Step 3: Cross multiply
    144,078.75x = 231,495.75 × 231,495.75
  4. Step 4: Simplify right side
    144,078.75x = 53,590,282,268.06
  5. Step 5: Solve for x
    x = 53,590,282,268.06/144,078.75
  6. Step 6: Final answer
    x = 371,951.33

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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.