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Finding the Third Proportional to 171,171 and 227,178

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Solution

The third proportional to 171,171 and 227,178 is: 301,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,171 : 227,178 = 227,178 : x
  2. Step 2: Convert to fraction form
    171,171/227,178 = 227,178/x
  3. Step 3: Cross multiply
    171,171x = 227,178 × 227,178
  4. Step 4: Simplify right side
    171,171x = 51,609,843,684
  5. Step 5: Solve for x
    x = 51,609,843,684/171,171
  6. Step 6: Final answer
    x = 301,510.44

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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.