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Finding the Third Proportional to 149,811 and 320,945.25

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Solution

The third proportional to 149,811 and 320,945.25 is: 687,572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,811 : 320,945.25 = 320,945.25 : x
  2. Step 2: Convert to fraction form
    149,811/320,945.25 = 320,945.25/x
  3. Step 3: Cross multiply
    149,811x = 320,945.25 × 320,945.25
  4. Step 4: Simplify right side
    149,811x = 103,005,853,497.56
  5. Step 5: Solve for x
    x = 103,005,853,497.56/149,811
  6. Step 6: Final answer
    x = 687,572.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.