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Finding the Third Proportional to 164,118.75 and 356,247.75

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Solution

The third proportional to 164,118.75 and 356,247.75 is: 773,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,118.75 : 356,247.75 = 356,247.75 : x
  2. Step 2: Convert to fraction form
    164,118.75/356,247.75 = 356,247.75/x
  3. Step 3: Cross multiply
    164,118.75x = 356,247.75 × 356,247.75
  4. Step 4: Simplify right side
    164,118.75x = 126,912,459,380.06
  5. Step 5: Solve for x
    x = 126,912,459,380.06/164,118.75
  6. Step 6: Final answer
    x = 773,296.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.