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Finding the Third Proportional to 193,001 and 425,266

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Solution

The third proportional to 193,001 and 425,266 is: 937,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,001 : 425,266 = 425,266 : x
  2. Step 2: Convert to fraction form
    193,001/425,266 = 425,266/x
  3. Step 3: Cross multiply
    193,001x = 425,266 × 425,266
  4. Step 4: Simplify right side
    193,001x = 180,851,170,756
  5. Step 5: Solve for x
    x = 180,851,170,756/193,001
  6. Step 6: Final answer
    x = 937,047.84

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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.