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Finding the Third Proportional to 198,034.50 and 425,922.50

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Solution

The third proportional to 198,034.50 and 425,922.50 is: 916,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,034.50 : 425,922.50 = 425,922.50 : x
  2. Step 2: Convert to fraction form
    198,034.50/425,922.50 = 425,922.50/x
  3. Step 3: Cross multiply
    198,034.50x = 425,922.50 × 425,922.50
  4. Step 4: Simplify right side
    198,034.50x = 181,409,976,006.25
  5. Step 5: Solve for x
    x = 181,409,976,006.25/198,034.50
  6. Step 6: Final answer
    x = 916,052.38

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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.