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Finding the Third Proportional to 198,014.63 and 426,822.75

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Solution

The third proportional to 198,014.63 and 426,822.75 is: 920,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,014.63 : 426,822.75 = 426,822.75 : x
  2. Step 2: Convert to fraction form
    198,014.63/426,822.75 = 426,822.75/x
  3. Step 3: Cross multiply
    198,014.63x = 426,822.75 × 426,822.75
  4. Step 4: Simplify right side
    198,014.63x = 182,177,659,917.56
  5. Step 5: Solve for x
    x = 182,177,659,917.56/198,014.63
  6. Step 6: Final answer
    x = 920,021.24

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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.