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Finding the Third Proportional to 171,234 and 227,271

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Solution

The third proportional to 171,234 and 227,271 is: 301,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,234 : 227,271 = 227,271 : x
  2. Step 2: Convert to fraction form
    171,234/227,271 = 227,271/x
  3. Step 3: Cross multiply
    171,234x = 227,271 × 227,271
  4. Step 4: Simplify right side
    171,234x = 51,652,107,441
  5. Step 5: Solve for x
    x = 51,652,107,441/171,234
  6. Step 6: Final answer
    x = 301,646.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.