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Finding the Third Proportional to 190,390.50 and 389,650.50

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Solution

The third proportional to 190,390.50 and 389,650.50 is: 797,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,390.50 : 389,650.50 = 389,650.50 : x
  2. Step 2: Convert to fraction form
    190,390.50/389,650.50 = 389,650.50/x
  3. Step 3: Cross multiply
    190,390.50x = 389,650.50 × 389,650.50
  4. Step 4: Simplify right side
    190,390.50x = 151,827,512,150.25
  5. Step 5: Solve for x
    x = 151,827,512,150.25/190,390.50
  6. Step 6: Final answer
    x = 797,453.19

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.