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Finding the Third Proportional to 197,761.22 and 431,458.83

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Solution

The third proportional to 197,761.22 and 431,458.83 is: 941,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,761.22 : 431,458.83 = 431,458.83 : x
  2. Step 2: Convert to fraction form
    197,761.22/431,458.83 = 431,458.83/x
  3. Step 3: Cross multiply
    197,761.22x = 431,458.83 × 431,458.83
  4. Step 4: Simplify right side
    197,761.22x = 186,156,720,367.00
  5. Step 5: Solve for x
    x = 186,156,720,367.00/197,761.22
  6. Step 6: Final answer
    x = 941,320.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.