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Finding the Third Proportional to 147,474 and 222,419.25

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Solution

The third proportional to 147,474 and 222,419.25 is: 335,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,474 : 222,419.25 = 222,419.25 : x
  2. Step 2: Convert to fraction form
    147,474/222,419.25 = 222,419.25/x
  3. Step 3: Cross multiply
    147,474x = 222,419.25 × 222,419.25
  4. Step 4: Simplify right side
    147,474x = 49,470,322,770.56
  5. Step 5: Solve for x
    x = 49,470,322,770.56/147,474
  6. Step 6: Final answer
    x = 335,451.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.