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Finding the Third Proportional to 79,846 and 174,278

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Solution

The third proportional to 79,846 and 174,278 is: 380,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,846 : 174,278 = 174,278 : x
  2. Step 2: Convert to fraction form
    79,846/174,278 = 174,278/x
  3. Step 3: Cross multiply
    79,846x = 174,278 × 174,278
  4. Step 4: Simplify right side
    79,846x = 30,372,821,284
  5. Step 5: Solve for x
    x = 30,372,821,284/79,846
  6. Step 6: Final answer
    x = 380,392.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.