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Finding the Third Proportional to 185,440.50 and 279,024.75

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Solution

The third proportional to 185,440.50 and 279,024.75 is: 419,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,440.50 : 279,024.75 = 279,024.75 : x
  2. Step 2: Convert to fraction form
    185,440.50/279,024.75 = 279,024.75/x
  3. Step 3: Cross multiply
    185,440.50x = 279,024.75 × 279,024.75
  4. Step 4: Simplify right side
    185,440.50x = 77,854,811,112.56
  5. Step 5: Solve for x
    x = 77,854,811,112.56/185,440.50
  6. Step 6: Final answer
    x = 419,837.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.