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Finding the Third Proportional to 190,399.50 and 291,694.50

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Solution

The third proportional to 190,399.50 and 291,694.50 is: 446,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,399.50 : 291,694.50 = 291,694.50 : x
  2. Step 2: Convert to fraction form
    190,399.50/291,694.50 = 291,694.50/x
  3. Step 3: Cross multiply
    190,399.50x = 291,694.50 × 291,694.50
  4. Step 4: Simplify right side
    190,399.50x = 85,085,681,330.25
  5. Step 5: Solve for x
    x = 85,085,681,330.25/190,399.50
  6. Step 6: Final answer
    x = 446,879.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.