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Finding the Third Proportional to 190,291.25 and 409,286.50

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Solution

The third proportional to 190,291.25 and 409,286.50 is: 880,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,291.25 : 409,286.50 = 409,286.50 : x
  2. Step 2: Convert to fraction form
    190,291.25/409,286.50 = 409,286.50/x
  3. Step 3: Cross multiply
    190,291.25x = 409,286.50 × 409,286.50
  4. Step 4: Simplify right side
    190,291.25x = 167,515,439,082.25
  5. Step 5: Solve for x
    x = 167,515,439,082.25/190,291.25
  6. Step 6: Final answer
    x = 880,310.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.