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Finding the Third Proportional to 185,738 and 279,958

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Solution

The third proportional to 185,738 and 279,958 is: 421,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,738 : 279,958 = 279,958 : x
  2. Step 2: Convert to fraction form
    185,738/279,958 = 279,958/x
  3. Step 3: Cross multiply
    185,738x = 279,958 × 279,958
  4. Step 4: Simplify right side
    185,738x = 78,376,481,764
  5. Step 5: Solve for x
    x = 78,376,481,764/185,738
  6. Step 6: Final answer
    x = 421,973.33

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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.