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Finding the Third Proportional to 185,970.46 and 278,234.88

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Solution

The third proportional to 185,970.46 and 278,234.88 is: 416,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,970.46 : 278,234.88 = 278,234.88 : x
  2. Step 2: Convert to fraction form
    185,970.46/278,234.88 = 278,234.88/x
  3. Step 3: Cross multiply
    185,970.46x = 278,234.88 × 278,234.88
  4. Step 4: Simplify right side
    185,970.46x = 77,414,649,198.54
  5. Step 5: Solve for x
    x = 77,414,649,198.54/185,970.46
  6. Step 6: Final answer
    x = 416,273.90

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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.