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Finding the Third Proportional to 149,608 and 327,828.50

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Solution

The third proportional to 149,608 and 327,828.50 is: 718,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,608 : 327,828.50 = 327,828.50 : x
  2. Step 2: Convert to fraction form
    149,608/327,828.50 = 327,828.50/x
  3. Step 3: Cross multiply
    149,608x = 327,828.50 × 327,828.50
  4. Step 4: Simplify right side
    149,608x = 107,471,525,412.25
  5. Step 5: Solve for x
    x = 107,471,525,412.25/149,608
  6. Step 6: Final answer
    x = 718,354.13

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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.