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Finding the Third Proportional to 184,938 and 278,469

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Solution

The third proportional to 184,938 and 278,469 is: 419,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,938 : 278,469 = 278,469 : x
  2. Step 2: Convert to fraction form
    184,938/278,469 = 278,469/x
  3. Step 3: Cross multiply
    184,938x = 278,469 × 278,469
  4. Step 4: Simplify right side
    184,938x = 77,544,983,961
  5. Step 5: Solve for x
    x = 77,544,983,961/184,938
  6. Step 6: Final answer
    x = 419,302.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.