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Finding the Third Proportional to 170,771 and 254,770

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Solution

The third proportional to 170,771 and 254,770 is: 380,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,771 : 254,770 = 254,770 : x
  2. Step 2: Convert to fraction form
    170,771/254,770 = 254,770/x
  3. Step 3: Cross multiply
    170,771x = 254,770 × 254,770
  4. Step 4: Simplify right side
    170,771x = 64,907,752,900
  5. Step 5: Solve for x
    x = 64,907,752,900/170,771
  6. Step 6: Final answer
    x = 380,086.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.