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Finding the Third Proportional to 188,339 and 279,250

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Solution

The third proportional to 188,339 and 279,250 is: 414,043.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,339 : 279,250 = 279,250 : x
  2. Step 2: Convert to fraction form
    188,339/279,250 = 279,250/x
  3. Step 3: Cross multiply
    188,339x = 279,250 × 279,250
  4. Step 4: Simplify right side
    188,339x = 77,980,562,500
  5. Step 5: Solve for x
    x = 77,980,562,500/188,339
  6. Step 6: Final answer
    x = 414,043.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.