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Finding the Third Proportional to 184,656 and 278,736

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Solution

The third proportional to 184,656 and 278,736 is: 420,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,656 : 278,736 = 278,736 : x
  2. Step 2: Convert to fraction form
    184,656/278,736 = 278,736/x
  3. Step 3: Cross multiply
    184,656x = 278,736 × 278,736
  4. Step 4: Simplify right side
    184,656x = 77,693,757,696
  5. Step 5: Solve for x
    x = 77,693,757,696/184,656
  6. Step 6: Final answer
    x = 420,748.62

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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.