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Finding the Third Proportional to 197,768.25 and 426,335.06

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Solution

The third proportional to 197,768.25 and 426,335.06 is: 919,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,768.25 : 426,335.06 = 426,335.06 : x
  2. Step 2: Convert to fraction form
    197,768.25/426,335.06 = 426,335.06/x
  3. Step 3: Cross multiply
    197,768.25x = 426,335.06 × 426,335.06
  4. Step 4: Simplify right side
    197,768.25x = 181,761,585,516.88
  5. Step 5: Solve for x
    x = 181,761,585,516.88/197,768.25
  6. Step 6: Final answer
    x = 919,063.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.