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Finding the Third Proportional to 74,334.38 and 154,824.75

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Solution

The third proportional to 74,334.38 and 154,824.75 is: 322,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,334.38 : 154,824.75 = 154,824.75 : x
  2. Step 2: Convert to fraction form
    74,334.38/154,824.75 = 154,824.75/x
  3. Step 3: Cross multiply
    74,334.38x = 154,824.75 × 154,824.75
  4. Step 4: Simplify right side
    74,334.38x = 23,970,703,212.56
  5. Step 5: Solve for x
    x = 23,970,703,212.56/74,334.38
  6. Step 6: Final answer
    x = 322,471.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.