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Finding the Third Proportional to 184,796 and 278,860

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Solution

The third proportional to 184,796 and 278,860 is: 420,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,796 : 278,860 = 278,860 : x
  2. Step 2: Convert to fraction form
    184,796/278,860 = 278,860/x
  3. Step 3: Cross multiply
    184,796x = 278,860 × 278,860
  4. Step 4: Simplify right side
    184,796x = 77,762,899,600
  5. Step 5: Solve for x
    x = 77,762,899,600/184,796
  6. Step 6: Final answer
    x = 420,804.02

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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.