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Finding the Third Proportional to 120,736 and 262,231.50

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Solution

The third proportional to 120,736 and 262,231.50 is: 569,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,736 : 262,231.50 = 262,231.50 : x
  2. Step 2: Convert to fraction form
    120,736/262,231.50 = 262,231.50/x
  3. Step 3: Cross multiply
    120,736x = 262,231.50 × 262,231.50
  4. Step 4: Simplify right side
    120,736x = 68,765,359,592.25
  5. Step 5: Solve for x
    x = 68,765,359,592.25/120,736
  6. Step 6: Final answer
    x = 569,551.41

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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.