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Finding the Third Proportional to 184,842 and 278,577

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Solution

The third proportional to 184,842 and 278,577 is: 419,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,842 : 278,577 = 278,577 : x
  2. Step 2: Convert to fraction form
    184,842/278,577 = 278,577/x
  3. Step 3: Cross multiply
    184,842x = 278,577 × 278,577
  4. Step 4: Simplify right side
    184,842x = 77,605,144,929
  5. Step 5: Solve for x
    x = 77,605,144,929/184,842
  6. Step 6: Final answer
    x = 419,845.84

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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.