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Finding the Third Proportional to 117,072.84 and 276,279.61

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Solution

The third proportional to 117,072.84 and 276,279.61 is: 651,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,072.84 : 276,279.61 = 276,279.61 : x
  2. Step 2: Convert to fraction form
    117,072.84/276,279.61 = 276,279.61/x
  3. Step 3: Cross multiply
    117,072.84x = 276,279.61 × 276,279.61
  4. Step 4: Simplify right side
    117,072.84x = 76,330,422,556.40
  5. Step 5: Solve for x
    x = 76,330,422,556.40/117,072.84
  6. Step 6: Final answer
    x = 651,990.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.