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Finding the Third Proportional to 144,093 and 231,516

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Solution

The third proportional to 144,093 and 231,516 is: 371,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,093 : 231,516 = 231,516 : x
  2. Step 2: Convert to fraction form
    144,093/231,516 = 231,516/x
  3. Step 3: Cross multiply
    144,093x = 231,516 × 231,516
  4. Step 4: Simplify right side
    144,093x = 53,599,658,256
  5. Step 5: Solve for x
    x = 53,599,658,256/144,093
  6. Step 6: Final answer
    x = 371,979.61

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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.