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Finding the Third Proportional to 189,435.75 and 414,546.50

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Solution

The third proportional to 189,435.75 and 414,546.50 is: 907,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,435.75 : 414,546.50 = 414,546.50 : x
  2. Step 2: Convert to fraction form
    189,435.75/414,546.50 = 414,546.50/x
  3. Step 3: Cross multiply
    189,435.75x = 414,546.50 × 414,546.50
  4. Step 4: Simplify right side
    189,435.75x = 171,848,800,662.25
  5. Step 5: Solve for x
    x = 171,848,800,662.25/189,435.75
  6. Step 6: Final answer
    x = 907,161.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.