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Finding the Third Proportional to 185,100.19 and 279,928.41

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Solution

The third proportional to 185,100.19 and 279,928.41 is: 423,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,100.19 : 279,928.41 = 279,928.41 : x
  2. Step 2: Convert to fraction form
    185,100.19/279,928.41 = 279,928.41/x
  3. Step 3: Cross multiply
    185,100.19x = 279,928.41 × 279,928.41
  4. Step 4: Simplify right side
    185,100.19x = 78,359,912,625.67
  5. Step 5: Solve for x
    x = 78,359,912,625.67/185,100.19
  6. Step 6: Final answer
    x = 423,337.83

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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.