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Finding the Third Proportional to 190,535.63 and 419,944.50

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Solution

The third proportional to 190,535.63 and 419,944.50 is: 925,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,535.63 : 419,944.50 = 419,944.50 : x
  2. Step 2: Convert to fraction form
    190,535.63/419,944.50 = 419,944.50/x
  3. Step 3: Cross multiply
    190,535.63x = 419,944.50 × 419,944.50
  4. Step 4: Simplify right side
    190,535.63x = 176,353,383,080.25
  5. Step 5: Solve for x
    x = 176,353,383,080.25/190,535.63
  6. Step 6: Final answer
    x = 925,566.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.