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Finding the Third Proportional to 159,080.81 and 222,522.75

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Solution

The third proportional to 159,080.81 and 222,522.75 is: 311,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,080.81 : 222,522.75 = 222,522.75 : x
  2. Step 2: Convert to fraction form
    159,080.81/222,522.75 = 222,522.75/x
  3. Step 3: Cross multiply
    159,080.81x = 222,522.75 × 222,522.75
  4. Step 4: Simplify right side
    159,080.81x = 49,516,374,267.56
  5. Step 5: Solve for x
    x = 49,516,374,267.56/159,080.81
  6. Step 6: Final answer
    x = 311,265.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.