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Finding the Third Proportional to 184,836 and 278,073

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Solution

The third proportional to 184,836 and 278,073 is: 418,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,836 : 278,073 = 278,073 : x
  2. Step 2: Convert to fraction form
    184,836/278,073 = 278,073/x
  3. Step 3: Cross multiply
    184,836x = 278,073 × 278,073
  4. Step 4: Simplify right side
    184,836x = 77,324,593,329
  5. Step 5: Solve for x
    x = 77,324,593,329/184,836
  6. Step 6: Final answer
    x = 418,341.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.