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Finding the Third Proportional to 174,505 and 276,770

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Solution

The third proportional to 174,505 and 276,770 is: 438,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,505 : 276,770 = 276,770 : x
  2. Step 2: Convert to fraction form
    174,505/276,770 = 276,770/x
  3. Step 3: Cross multiply
    174,505x = 276,770 × 276,770
  4. Step 4: Simplify right side
    174,505x = 76,601,632,900
  5. Step 5: Solve for x
    x = 76,601,632,900/174,505
  6. Step 6: Final answer
    x = 438,965.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.