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Finding the Third Proportional to 184,788 and 278,848

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Solution

The third proportional to 184,788 and 278,848 is: 420,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,788 : 278,848 = 278,848 : x
  2. Step 2: Convert to fraction form
    184,788/278,848 = 278,848/x
  3. Step 3: Cross multiply
    184,788x = 278,848 × 278,848
  4. Step 4: Simplify right side
    184,788x = 77,756,207,104
  5. Step 5: Solve for x
    x = 77,756,207,104/184,788
  6. Step 6: Final answer
    x = 420,786.02

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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.