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Finding the Third Proportional to 147,399.75 and 222,318

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Solution

The third proportional to 147,399.75 and 222,318 is: 335,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,399.75 : 222,318 = 222,318 : x
  2. Step 2: Convert to fraction form
    147,399.75/222,318 = 222,318/x
  3. Step 3: Cross multiply
    147,399.75x = 222,318 × 222,318
  4. Step 4: Simplify right side
    147,399.75x = 49,425,293,124
  5. Step 5: Solve for x
    x = 49,425,293,124/147,399.75
  6. Step 6: Final answer
    x = 335,314.63

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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.