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Finding the Third Proportional to 190,451 and 279,781

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Solution

The third proportional to 190,451 and 279,781 is: 411,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,451 : 279,781 = 279,781 : x
  2. Step 2: Convert to fraction form
    190,451/279,781 = 279,781/x
  3. Step 3: Cross multiply
    190,451x = 279,781 × 279,781
  4. Step 4: Simplify right side
    190,451x = 78,277,407,961
  5. Step 5: Solve for x
    x = 78,277,407,961/190,451
  6. Step 6: Final answer
    x = 411,010.75

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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.