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Finding the Third Proportional to 199,793.25 and 425,013.75

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Solution

The third proportional to 199,793.25 and 425,013.75 is: 904,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,793.25 : 425,013.75 = 425,013.75 : x
  2. Step 2: Convert to fraction form
    199,793.25/425,013.75 = 425,013.75/x
  3. Step 3: Cross multiply
    199,793.25x = 425,013.75 × 425,013.75
  4. Step 4: Simplify right side
    199,793.25x = 180,636,687,689.06
  5. Step 5: Solve for x
    x = 180,636,687,689.06/199,793.25
  6. Step 6: Final answer
    x = 904,118.07

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.