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Finding the Third Proportional to 174,978 and 258,777

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Solution

The third proportional to 174,978 and 258,777 is: 382,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,978 : 258,777 = 258,777 : x
  2. Step 2: Convert to fraction form
    174,978/258,777 = 258,777/x
  3. Step 3: Cross multiply
    174,978x = 258,777 × 258,777
  4. Step 4: Simplify right side
    174,978x = 66,965,535,729
  5. Step 5: Solve for x
    x = 66,965,535,729/174,978
  6. Step 6: Final answer
    x = 382,708.32

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.