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Finding the Third Proportional to 184,264 and 279,150

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Solution

The third proportional to 184,264 and 279,150 is: 422,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,264 : 279,150 = 279,150 : x
  2. Step 2: Convert to fraction form
    184,264/279,150 = 279,150/x
  3. Step 3: Cross multiply
    184,264x = 279,150 × 279,150
  4. Step 4: Simplify right side
    184,264x = 77,924,722,500
  5. Step 5: Solve for x
    x = 77,924,722,500/184,264
  6. Step 6: Final answer
    x = 422,897.16

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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.