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Finding the Third Proportional to 201,225 and 425,743

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Solution

The third proportional to 201,225 and 425,743 is: 900,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,225 : 425,743 = 425,743 : x
  2. Step 2: Convert to fraction form
    201,225/425,743 = 425,743/x
  3. Step 3: Cross multiply
    201,225x = 425,743 × 425,743
  4. Step 4: Simplify right side
    201,225x = 181,257,102,049
  5. Step 5: Solve for x
    x = 181,257,102,049/201,225
  6. Step 6: Final answer
    x = 900,768.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.