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Finding the Third Proportional to 149,869.13 and 313,593.75

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Solution

The third proportional to 149,869.13 and 313,593.75 is: 656,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,869.13 : 313,593.75 = 313,593.75 : x
  2. Step 2: Convert to fraction form
    149,869.13/313,593.75 = 313,593.75/x
  3. Step 3: Cross multiply
    149,869.13x = 313,593.75 × 313,593.75
  4. Step 4: Simplify right side
    149,869.13x = 98,341,040,039.06
  5. Step 5: Solve for x
    x = 98,341,040,039.06/149,869.13
  6. Step 6: Final answer
    x = 656,179.45

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.