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Finding the Third Proportional to 161,446.50 and 352,401.75

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Solution

The third proportional to 161,446.50 and 352,401.75 is: 769,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,446.50 : 352,401.75 = 352,401.75 : x
  2. Step 2: Convert to fraction form
    161,446.50/352,401.75 = 352,401.75/x
  3. Step 3: Cross multiply
    161,446.50x = 352,401.75 × 352,401.75
  4. Step 4: Simplify right side
    161,446.50x = 124,186,993,403.06
  5. Step 5: Solve for x
    x = 124,186,993,403.06/161,446.50
  6. Step 6: Final answer
    x = 769,214.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.