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Finding the Third Proportional to 190,716.75 and 280,242

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Solution

The third proportional to 190,716.75 and 280,242 is: 411,791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,716.75 : 280,242 = 280,242 : x
  2. Step 2: Convert to fraction form
    190,716.75/280,242 = 280,242/x
  3. Step 3: Cross multiply
    190,716.75x = 280,242 × 280,242
  4. Step 4: Simplify right side
    190,716.75x = 78,535,578,564
  5. Step 5: Solve for x
    x = 78,535,578,564/190,716.75
  6. Step 6: Final answer
    x = 411,791.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.