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Finding the Third Proportional to 198,071.16 and 426,942.56

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Solution

The third proportional to 198,071.16 and 426,942.56 is: 920,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,071.16 : 426,942.56 = 426,942.56 : x
  2. Step 2: Convert to fraction form
    198,071.16/426,942.56 = 426,942.56/x
  3. Step 3: Cross multiply
    198,071.16x = 426,942.56 × 426,942.56
  4. Step 4: Simplify right side
    198,071.16x = 182,279,951,674.07
  5. Step 5: Solve for x
    x = 182,279,951,674.07/198,071.16
  6. Step 6: Final answer
    x = 920,275.09

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Why These Related Problems?

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