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Finding the Third Proportional to 184,420 and 278,325

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Solution

The third proportional to 184,420 and 278,325 is: 420,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,420 : 278,325 = 278,325 : x
  2. Step 2: Convert to fraction form
    184,420/278,325 = 278,325/x
  3. Step 3: Cross multiply
    184,420x = 278,325 × 278,325
  4. Step 4: Simplify right side
    184,420x = 77,464,805,625
  5. Step 5: Solve for x
    x = 77,464,805,625/184,420
  6. Step 6: Final answer
    x = 420,045.58

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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.