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Finding the Third Proportional to 197,254.50 and 279,111

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Solution

The third proportional to 197,254.50 and 279,111 is: 394,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,254.50 : 279,111 = 279,111 : x
  2. Step 2: Convert to fraction form
    197,254.50/279,111 = 279,111/x
  3. Step 3: Cross multiply
    197,254.50x = 279,111 × 279,111
  4. Step 4: Simplify right side
    197,254.50x = 77,902,950,321
  5. Step 5: Solve for x
    x = 77,902,950,321/197,254.50
  6. Step 6: Final answer
    x = 394,936.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.