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Finding the Third Proportional to 184,948 and 279,366

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Solution

The third proportional to 184,948 and 279,366 is: 421,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,948 : 279,366 = 279,366 : x
  2. Step 2: Convert to fraction form
    184,948/279,366 = 279,366/x
  3. Step 3: Cross multiply
    184,948x = 279,366 × 279,366
  4. Step 4: Simplify right side
    184,948x = 78,045,361,956
  5. Step 5: Solve for x
    x = 78,045,361,956/184,948
  6. Step 6: Final answer
    x = 421,985.43

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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.