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Finding the Third Proportional to 86,794 and 178,780

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Solution

The third proportional to 86,794 and 178,780 is: 368,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,794 : 178,780 = 178,780 : x
  2. Step 2: Convert to fraction form
    86,794/178,780 = 178,780/x
  3. Step 3: Cross multiply
    86,794x = 178,780 × 178,780
  4. Step 4: Simplify right side
    86,794x = 31,962,288,400
  5. Step 5: Solve for x
    x = 31,962,288,400/86,794
  6. Step 6: Final answer
    x = 368,254.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.