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Finding the Third Proportional to 185,016 and 398,097.75

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Solution

The third proportional to 185,016 and 398,097.75 is: 856,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,016 : 398,097.75 = 398,097.75 : x
  2. Step 2: Convert to fraction form
    185,016/398,097.75 = 398,097.75/x
  3. Step 3: Cross multiply
    185,016x = 398,097.75 × 398,097.75
  4. Step 4: Simplify right side
    185,016x = 158,481,818,555.06
  5. Step 5: Solve for x
    x = 158,481,818,555.06/185,016
  6. Step 6: Final answer
    x = 856,584.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.