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Finding the Third Proportional to 203,783.25 and 446,931.75

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Solution

The third proportional to 203,783.25 and 446,931.75 is: 980,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,783.25 : 446,931.75 = 446,931.75 : x
  2. Step 2: Convert to fraction form
    203,783.25/446,931.75 = 446,931.75/x
  3. Step 3: Cross multiply
    203,783.25x = 446,931.75 × 446,931.75
  4. Step 4: Simplify right side
    203,783.25x = 199,747,989,158.06
  5. Step 5: Solve for x
    x = 199,747,989,158.06/203,783.25
  6. Step 6: Final answer
    x = 980,198.27

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