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Finding the Third Proportional to 193,524.75 and 425,198.25

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Solution

The third proportional to 193,524.75 and 425,198.25 is: 934,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,524.75 : 425,198.25 = 425,198.25 : x
  2. Step 2: Convert to fraction form
    193,524.75/425,198.25 = 425,198.25/x
  3. Step 3: Cross multiply
    193,524.75x = 425,198.25 × 425,198.25
  4. Step 4: Simplify right side
    193,524.75x = 180,793,551,803.06
  5. Step 5: Solve for x
    x = 180,793,551,803.06/193,524.75
  6. Step 6: Final answer
    x = 934,214.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.