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Finding the Third Proportional to 146,161.97 and 320,253.75

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Solution

The third proportional to 146,161.97 and 320,253.75 is: 701,704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,161.97 : 320,253.75 = 320,253.75 : x
  2. Step 2: Convert to fraction form
    146,161.97/320,253.75 = 320,253.75/x
  3. Step 3: Cross multiply
    146,161.97x = 320,253.75 × 320,253.75
  4. Step 4: Simplify right side
    146,161.97x = 102,562,464,389.06
  5. Step 5: Solve for x
    x = 102,562,464,389.06/146,161.97
  6. Step 6: Final answer
    x = 701,704.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.